Ivory Loft Beds

Transform your child’s bedroom with this Twin Size Wooden Loft Bed, designed for both fun and functionality. Featuring a playful house-style roof with window details, this loft bed inspires imagination while maximizing space. A smooth-rolling desk, multiple drawers, open shelves, and four enclosed cabinets provide versatile storage for school supplies, toys, clothes, and daily essentials. The sturdy staircase includes built-in drawers for added convenience. Perfect for kids’ bedrooms, study areas, or compact living spaces, this loft bed combines creativity, organization, and durability in one smart design.

Designed to turn everyday sleeping into an imaginative and highly functional experience, this Twin Size Wooden Loft Bed features a playful house-shaped roof with window details that instantly create a cozy, storybook atmosphere. Beyond its fun appearance, the smart space-saving design integrates a pull-out rolling desk, multiple storage solutions, and a sturdy loft structure, making it an ideal all-in-one choice for kids’ bedrooms, study spaces, or compact living areas where organization and creativity matter.

Create a playful and cozy sleep space for your child with this queen bed featuring built-in bookshelves and a small staircase. The bedside bookshelf is perfect for bedtime stories, while the hidden trundle bed is ready for unexpected guests. Rounded safety rails provide secure climbing, and the premium pine wood frame ensures long-lasting durability. Easy-to-follow assembly instructions and all necessary tools are included.

Create a cozy and functional space for your child with this Full Size Bed, featuring built-in bookshelves, two spacious storage drawers, a safe staircase, and protective safety rails. The bookshelf provides a convenient spot for bedtime books, while the under-bed drawers help keep toys, clothing, and daily essentials neatly organized. Crafted from premium pine wood, the sturdy frame offers reliable stability and lasting durability, while the staircase and safety rails provide added support for everyday use. With a playful design and practical storage, this bed brings comfort, organization, and child-friendly functionality to the bedroom.

More Than a Bed—It’s Their First Private Studio Apartment Why just give them a place to sleep when you can give them a place to belong? TheUltimate Storage Loft Bed is designed for the modern home where space is a premium but style is a must. By elevating the bed, we’ve opened up a world of organization below. Imagine a room where the floor is clear because the clothes are in the integrated wardrobe, and the nightstand clutter is neatly tucked into built-in shelves. This isn't just a bed; it’s a tool for teaching independence and order. Crafted from solid wood and finished in a timeless aesthetic, it serves as the perfect anchor for any bedroom theme, from minimalist Scandi to vibrant nursery.

Love the bed! Very sturdy! That being said- the number stickers are ridiculous to get off, there are areas where you can see paint marks from darker to white (i got the white option) and the number of screws on the stairs with no screw cover stickers provided makes things look a bit cheap. We carpeted the stairs which I highly recommend doing And be sure to have a 6 inch mattress because our 9 inch was not safe up top so had to order new mattress now.. Stacey. Livonia, MI. Sun Aug 02 2026

Playful Design—Infused with whimsical elements, this bed creates a cozy sleeping space for children. The built-in bookshelf at the headboard forms a cozy nook for bedtime stories, fostering a warm and reassuring atmosphere. Two oversized drawers beneath the bed provide ample storage space, effortlessly accommodating daily essentials.

Love the bed hard to put together but work it. Anonymous. Thu May 14 2026

Transform your living space into a dream haven with this beautifully crafted minimalist loft bed – the ultimate fusion of style, function, and playful charm. Its sleek, understated design glides effortlessly into any room aesthetic, from modern apartments to cozy suburban homes. The plush, cushioned upper bed offers a serene retreat for restful sleep, while the versatile lower level is yours to command: create a focused home office, a cozy reading nook, or a dedicated play zone. Every inch is engineered to maximize your space without compromising on luxury. But the magic doesn't stop there. A built-in slide turns everyday life into an adventure, while hidden storage compartments underneath keep clutter out of sight and your belongings neatly organized. The open-concept staircase not only ensures safe, easy access between levels but adds an airy, contemporary touch to the overall silhouette. Whether you're designing for a child's room, a teen's sanctuary, or a multifunctional guest space, this bed does it all – and does it beautifully. Stop dreaming about the perfect room – make it a reality. This is more than just furniture; it's an investment in joy, efficiency, and unforgettable memories. Elevate your home today with a piece that works as hard as you play. Your space deserves it. You deserve it.

This solid wood loft bed combines safety, durability, and smart design to transform any child's bedroom. Featuring full-length guardrails, it ensures secure sleep and play, giving parents peace of mind. The sturdy wooden frame offers long-lasting support, holding up to daily use by kids and teens. A built-in ladder provides easy, stable access to the upper bunk, while the minimalist structure blends seamlessly with various decor styles. The elevated design creates valuable under-bed space, perfect for storage, a reading nook, or play area, making it ideal for small bedrooms. Designed for functionality and style, this loft bed maximizes space without compromising on safety or comfort.

Montessori Autonomy, Multi-Layered Storage Armor—The Solid Wood Floor Bed Engineered as a Safe, Independent Sanctuary for Your Child The toddler transition is the most critical and challenging phase in parenting—a delicate balance between encouraging early independence and ensuring absolute physical safety. The Solid Wood Kids Floor Bed with Storage and Guardrails is masterfully sculpted to honor this journey of childhood growth. Moving away from traditional high beds that invite falls or restrictive cribs that limit autonomy, this magnificent masterpiece marries the gentle philosophy of Montessori floor-level living with the high-utility logic of integrated bookcases and storage drawers, bringing a boutique showroom elegance straight to your child's room layout. We engineered this high-performance toddler foundation for the design-conscious parent who demands uncompromising physical safety alongside classic, functional craftsmanship. The true structural victory lies within its "Growth-First" architecture: while the low-to-ground design lets your child explore and crawl into bed independently, the 360-degree guardrails wrap them in a secure, protective cocoon. Finished with an eco-friendly, non-toxic natural wood finish that sits safely on the floor, it delivers an enduring, life-proof haven that evolves as your child grows.

It’s a solid bed. I highly recommend it as a transition after the crib, as it sits low and it’s easy to get in and out of. It took a little while to get together on my own, but it’s pretty easy once you separate everything out. Once it was together, it was easily able to be moved from one room to another. However! The “brown” isn’t very dark at all. It’s just slightly darker than the natural color selection, so keep that in mind when selecting your color option. Overall, I love its functionality that I don’t care that much about the color (I mean once it’s covered in blankets, stuffed animals, and stickers, who really cares!). Allison. Erie, PA. Sun Oct 18 2026

Playful Design—Incorporating whimsical design elements to create a comfortable sleeping environment for children. The cozy sleeping area features a built-in bookshelf along the side for bedtime reading. An extra bed is hidden beneath the main bed, ready to accommodate unexpected guests at any time.

Playful Design—Infused with whimsical elements, this bed creates a cozy sleeping space for children. The built-in bookshelf at the headboard forms a cozy nook for bedtime stories, fostering a warm and reassuring atmosphere. Two oversized drawers beneath the bed provide ample storage space, effortlessly accommodating daily essentials.

Small bedrooms deserve more than a place to sleep. This loft bed turns one footprint into a comfortable sleep space, play area and organized storage zone for kids and growing teens. Wide storage stairs replace a basic ladder, giving children a steadier way up while open cubbies hold books, toys, stationery and everyday essentials. A matching slide adds indoor fun, and the attached wardrobe provides hanging and shelf storage for clothes, jackets and accessories. Built from pine wood, plywood and MDF with reinforced support beams. With sleep, storage and play built in, this loft bed helps free valuable floor space without sacrificing function or style. Actual colours may vary slightly due to photographic light sources or your monitor settings, please refer to the real thing.

Transform your child's bedroom with this playful and functional kids trundle bed. Designed with whimsical elements, it provides a cozy and safe sleeping environment. The built-in bookshelves keep bedtime stories within easy reach, while the hidden trundle bed offers extra sleeping space for guests. Rounded safety rails and a small staircase allow children to climb in and out independently, promoting self-confidence. Crafted from premium pine wood, this bed ensures durability and stability for years of use. Easy-to-follow instructions and all necessary tools make assembly a breeze.

As expected! Great bed! Easy enough to put together. Thomas. Virginia Beach, VA. Tue Sep 15 2026

Maximize space with this Queen Size Loft Bed with Trundle, a multifunctional wood loft bed frame that combines sleeping, storage, and guest accommodation in one smart design. Finished in a beige wood tone, it adds a clean and modern look to any bedroom while saving valuable floor space. The integrated trundle bed provides extra sleeping space for guests or siblings, while the built-in bookshelves and staircase offer convenient storage and easy access. Designed with full safety rails and crafted from durable solid wood, this Queen loft bed frame delivers stability, safety, and long-lasting use—perfect for kids, teens, or shared rooms.

Upgrade your bedroom with this space-saving queen size metal loft bed, thoughtfully designed for modern teens, kids, and adults. The elevated bed includes a full-length wardrobe with a hanging rod, an L-shaped workstation for work or study, and a built-in USB port and LED light strip to enhance your daily comfort. The versatile stairs double as storage and can be installed on either side. Crafted with sturdy metal and finished in a sleek white wood grain, this loft bed brings both functionality and modern style to your space.

Instructions are difficult to read and you need a 6-8 in mattress other than that it’s very sturdy and nice.. Anonymous. Sat Dec 13 2025

Introducing the Complete Loft Bed with Desk, Drawers and Cabinets, a brilliantly engineered all-in-one furniture solution that transforms any room into a highly functional, organized, and versatile living space. This thoughtfully designed loft bed elevates the sleeping area to create valuable floor space below, which is fully utilized by a comprehensive system of workspace and storage. Perfect for student dormitories, small apartments, growing children's rooms, home offices, or anyone seeking to maximize functionality without sacrificing style, this complete loft bed delivers exceptional value through its intelligent, integrated design.

Transform your child’s bedroom into a storybook retreat with this Wooden Loft Bed, thoughtfully designed for both fun and functionality. Featuring a house-shaped roof with window details, this loft bed inspires imaginative play while creating a cozy and private space. The pull-out desk on smooth-rolling wheels offers a convenient area for studying, working, or crafting, then neatly tucks away to maximize floor space when not in use.Due to different photographic light sources or your monitor, the actual color may be slightly different.

Transform your child's sleep space with our enchanting Kid Bed, designed to inspire imagination and comfort. Featuring playful elements and a bedside bookshelf for bedtime stories, this bed fosters a cozy atmosphere. With ample storage and a sturdy pine wood construction, it ensures durability and safety. Easy assembly makes it a hassle-free addition to your home, allowing your little one to enjoy independence and a delightful sleeping experience.

Create a fun and cozy bedroom space with this twin size house bed featuring built-in bookshelves, a small staircase, safety rails, and a convenient trundle bed. Designed with both style and functionality in mind, this kids bed offers a playful sleeping environment while maximizing storage and sleeping space. The built-in bookshelf keeps bedtime stories within reach, while the pull-out trundle provides an extra sleeping area for sleepovers or guests. Crafted from premium pine wood, this sturdy kids bed frame delivers long-lasting durability and reliable support for growing children.

Bring joy and functionality together with this Full Size Low Loft Bed with Slide and Ladder. Crafted from durable solid pine and premium MDF, it transforms your child’s room into a playful yet practical retreat—combining safety, fun, and timeless design in one compact piece.

Bought this for my daughter and she loves it. It took about 4 hours to built but the instructions were clear and easy to follow.. Anonymous. Tue Jul 14 2026

This solid wooden loft bed combines sleep, study, and storage in one compact design, ideal for small bedrooms, kids’ rooms, or dorm spaces. Sturdy wood construction ensures long-term stability and safety. The built-in desk for studying or working, plus matching cabinets and drawers for clothes, books, and daily essentials. Practical, space‑saving, and multi‑functional, it is a smart all‑in‑one solution for organized, comfortable living.

Create a magical and safe independent sleep space for your child with this Solid Wood Loft Bed. Your little one can sleep soundly on the upper bunk, fully protected by tall, continuous guardrails, while the spacious area underneath becomes their private kingdom—a homework station, a cozy reading nook, or a play area. Parents can rest easy knowing the smooth, rounded edges and sturdy ladder prevent accidental slips and scratches during daily use. Core Specs & Craftsmanship: Crafted from a robust combination of solid Pine Wood, Plywood, and MDF for enhanced stability. Twin Size: Measures 78.35"L x 52.76"W x 60.83"H, supports up to 350 lbs. Weighs 76.50 lbs. Full Size: Measures 78.35"L x 70.08"W x 60.83"H, supports up to 550 lbs. Weighs 93.30 lbs. Both sizes comfortably fit a standard 6-inch thick mattress (do not exceed 6 inches to ensure guardrail safety). Ships in 1 single package. Maintenance & Pre-sales Notice: Wipe the wooden surface with a soft, dry cloth to clean. Avoid harsh chemicals or abrasive cleaners. Please note: Full assembly is required (all hardware and instructions included; 2 adults are highly recommended for easier assembly). The bed is designed for children aged 6 years and older. Please measure your room and ceiling height to ensure the 60.83-inch height fits comfortably before purchase. Slight chromatic aberration may occur due to lighting and display differences.

Maximize your room's potential with this multi-functional Full/Queen wood loft bed. Designed for creativity and convenience, it features an integrated chalkboard panel for doodling and an ambient LED light strip for a cozy nighttime glow. Multiple open shelves offer ample storage for books and decor, while the spacious under-bed clearance is perfect for a customized study or play area. Finished in a versatile natural/white tone with a sturdy ladder and full-length guardrails, this loft bed is the ultimate space-saving solution.

The 95.2" Long Wood Low Loft Bed is a high-performance furniture statement designed for high-efficiency, imaginative living. Available in Twin and Full sizes and three signature finishes—White, Pink, and Natural—this unit bridges the gap between a secure sleep sanctuary and a creative productivity hub by integrating a functional blackboard and a study desk into its sturdy pine silhouette. Prioritizing structural endurance and spatial flow, the 95.2" long reinforced structure features multi-tier shelving and specialized storage boxes to maximize organization in compact nurseries or creative playrooms. The intelligent layout includes a 43.7" low-profile height to maintain an organized and safe sanctuary with a 350-400 lbs weight capacity, while the maintenance-free, non-toxic surface ensures professional-grade longevity through years of growth. Whether you are outfitting a creative toddler retreat or seeking a sophisticated "all-in-one" upgrade for your primary sanctuary, this high-quality wood loft bed offers the perfect balance of whimsical charm and quiet functional efficiency.

The safety guardrail design of this wooden loft bed ensures the safety of children when using it, giving parents no worries. The bedside part is cleverly designed to look like a house, which is not only unique and interesting, but also stimulates children's desire to explore. The small hollow window design adds a childlike touch to the entire bed, allowing children to feel the warmth and safety of home while playing. On one side of the loft bed, a pull-out table is built-in, which greatly improves the functionality of the bed. This desk has wheels at the bottom so that children can easily pull it out as needed, and the handle design on the side makes operation more convenient. There are three drawers and two layers of open storage shelves under the table, which provide children with ample storage space for convenient placement of books, stationery and toys, helping them develop good organization habits. The design under the bed is equally surprising. It is equipped with two cabinet doors and four built-in storage compartments, providing additional storage space to help children store toys, clothing and other items to keep the room tidy. The small ladder at the entrance is convenient for children to get in and out of bed, and two drawers are designed under the steps to make full use of every inch of space and further increase the storage function. All drawers use a metal slide system to ensure smooth opening and closing and high durability. The wooden round handle design is both beautiful and easy to hold, meeting the needs of children. In addition, the bed body is made of high-quality pine wood and MDF structure, which is stable and durable, ensuring the safety and comfort of your child. The plywood slats design further improves the support and durability of the bed, allowing children to sleep peacefully on the bed.

This Full over Full bunk bed offers a space-saving design with a storage headboard, multi-color lighting, a customizable pegboard panel, and durable solid wood construction for safe and versatile use.

Transform your child’s bedroom into a cozy, organized, and imaginative haven with this wooden loft bed. Featuring a charming house-shaped roof with window accents, this bed sparks creativity and provides a private retreat for kids. Beyond its playful design, it offers ultimate functionality with a pull-out rolling desk for study or play, four enclosed storage cabinets, staircase drawers, and under-desk shelves to keep essentials within reach. Actual color may vary slightly due to photographic lighting sources or your monitor settings.

This Twin Size Kids Bed combines smart storage, safety, and functionality in one compact design, featuring built-in bookshelves and a sturdy staircase for easy access and everyday use. Designed as a practical storage bed frame, it includes high guardrails and a pull-out trundle bed, offering extra sleeping space for guests or growing families. Built as a durable kids bed / wooden bed frame / bed frame with trundle, it delivers long-lasting stability and comfort. The light natural finish blends seamlessly into any décor, making this kids storage bed a perfect space-saving solution for modern bedrooms.

Elevate your bedroom with our Black Metal LOFT Bed—a perfect blend of practicality, durability, and elegance. Constructed from premium, heavy-duty metal, this loft bed ensures long-lasting use and robust support. It comes with two large drawers, providing generous storage space for clothes, bedding, or personal items, helping you maintain a tidy room. The integrated pegboard offers versatile organization, ideal for hanging accessories, books, or decor. With its sleek, modern design, this loft bed adds a touch of sophistication, making it both a stylish and highly functional centerpiece for your bedroom.

Playful Design—Incorporating whimsical design elements to create a comfortable sleeping environment for children. The cozy sleeping area features a built-in bookshelf along the side for bedtime reading. An extra bed is hidden beneath the main bed, ready to accommodate unexpected guests at any time.

Create a fun and cozy sleep space for your child with this multi-functional loft bed. Featuring built-in bookshelves along the side for bedtime reading, a small staircase with rounded safety rails for independent climbing, and a hidden trundle bed for overnight guests, this bed combines playful design with practical functionality. Crafted from premium pine wood, it ensures sturdy, long-lasting durability, while assembly is quick and easy with the included instructions and tools.

Turn bedtime into the day’s grandest adventure with this solid pine loft bed, where sturdy craftsmanship meets playful design. The built-in staircase doubles as clever storage, keeping treasures tidy while the slide and window spark imagination. Safety-first guardrails and a secure climb offer total peace of mind. Under-bed LED lights set magical moods for reading, relaxing, or dreaming—a premium centerpiece your child will adore for years.

Maximize your space with this Queen size metal loft bed featuring a stylish L-shaped desk, integrated wardrobe, and open shelves. Designed for modern living, this high loft bed offers a comfortable sleep area above and a spacious workstation below—ideal for teens, students, and adults. With its white wood-grain finish and durable metal frame, it’s a perfect space-saving solution for any bedroom.

Create a safe, functional, and stylish sleep space with this Queen Size Solid Wood Kids Floor Bed with Storage Bookcases and Stairs. Designed for modern families, this floor bed combines comfort, independence, and smart storage in one. Built-in storage bookcases, sturdy solid wood construction, and a no box spring needed platform design make it a practical choice for growing kids. With integrated cute stairs and full guardrails, it ensures both safety and easy access while keeping the bedroom neat and organized.

This children’s loft bed combines playful design with practical functionality. The built-in bookshelves at the headboard create a cozy reading nook for bedtime stories, while two oversized drawers underneath provide ample storage for daily essentials. Rounded safety rails and a staircase allow children to climb in and out independently, giving parents peace of mind. Crafted from premium pine wood, this bed ensures lasting durability and stability. Clear assembly instructions and all necessary tools are included for quick setup.

Upgrade your child’s bedroom with this stylish Wood Loft Bed, designed as a multifunctional space-saving solution that combines sleeping, play, storage, and organization in one smart design. Featuring a fun slide, built-in storage stairs, and a spacious wardrobe, this Kids Loft Bed creates an exciting yet practical bedroom setup for growing children and teens. The elevated sleeping area includes sturdy high guardrails for added safety, while the solid wood frame with reinforced support provides lasting stability. With its modern curved headboard, clean lines, and elegant finish, this Loft Bed with Storage perfectly complements contemporary, farmhouse, and minimalist bedroom styles while maximizing available space.

Upgrade your bedroom with this Queen Storage Bed with Bookshelves, Staircase and Trundle, a versatile wooden bed frame designed for storage, comfort, and multi-functional use. Featuring integrated bookshelves and a built-in staircase, this queen size storage bed frame keeps books, décor, and essentials neatly organized while providing easy access to the bed. The pull-out trundle bed adds an extra sleeping space for guests, making it an ideal space-saving queen bed frame for modern homes. Built from durable wood with safety rails for added security, this queen storage bed with trundle combines strength, functionality, and beige style in one.

This multifunctional kids bunk bed is thoughtfully designed to create a cozy, safe, and space-saving sleeping environment. Featuring built-in bookshelves, a practical storage staircase, and a hidden trundle bed, it maximizes bedroom functionality while maintaining a playful and comfortable design for children.

This Twin Size Wooden Loft Bed with Desk, Drawers & Cabinets is designed to maximize both space efficiency and everyday functionality while creating a playful, house-inspired sleeping environment for kids and teens. Featuring a charming house-shaped roof with window details, this loft bed transforms any bedroom into a cozy, imaginative retreat that encourages creativity and comfort.

This sturdy wooden loft bed combines comfort, functionality, and storage for modern living spaces. Crafted from durable solid wood, it features a stable bed frame for reliable long-term use. Under the elevated bed, a built-in desk provides a dedicated workspace for study or work. The design also includes ample drawers and cabinets, offering generous storage for clothes, books, and daily essentials, helping keep the room tidy and organized.

Make the most of your child’s room with a bed that blends sleep, storage, and everyday convenience in one thoughtful design. This wood bed features built-in side bookshelves that keep bedtime stories, small toys, and essentials within easy reach while helping reduce clutter around the room. A hidden trundle underneath creates an extra sleeping space for sleepovers, guests, or siblings without taking up additional floor space. Rounded safety rails on the small staircase support easier climbing and added peace of mind, while the sturdy pine, MDF, and plywood construction is built for reliable daily use. Its playful look and warm beige finish create a cozy, kid-friendly atmosphere that delivers smart function, dependable safety, and long-term value.

Upgrade your child’s bedroom with our all-in-one Chic Loft Bed, the ultimate space-saving furniture combining sleeping, playing, climbing and storage all in one unit, perfectly crafted for kids and growing teens.

Transform your child’s bedroom with this playful and multi-functional Queen bed. Featuring built-in bookshelves for bedtime stories, a small staircase with rounded safety rails, and a hidden trundle bed for overnight guests, this bed combines fun, convenience, and safety. Crafted from premium pine wood, it offers long-lasting durability and sturdy support. Easy-to-follow assembly instructions and all necessary tools are included for a stress-free setup.

Create a cozy and functional sleep space for your child with this twin size kids bed featuring built-in bookshelves, spacious storage drawers, and a safe staircase design. The playful structure adds charm to any bedroom while encouraging bedtime reading and independent habits. Crafted from premium pine wood, this sturdy bed frame offers reliable support and long-lasting durability. Two large under-bed drawers help keep toys, clothes, and daily essentials neatly organized, making it a perfect combination of comfort, safety, and storage for growing children.

This twin loft bed with storage shelves and wardrobe is a perfect blend of fun and functionality, ideal for maximizing space in any bedroom. The solid wood construction ensures durability and safety, while the built-in storage solutions keep clothes, books, and toys neatly organized. The detachable slide adds an element of play, allowing kids to enjoy their space in a creative way. The slide can be installed on either side, offering flexibility to fit different room layouts. The reinforced slats provide reliable mattress support, eliminating the need for a box spring. The under-bed area can be used for additional sleeping, a cozy play zone, or a study nook, making it a versatile and adaptable piece of furniture. Easy assembly with a complete tool kit and clear instructions ensures a hassle-free setup, providing a sturdy and enjoyable bed for your child.

Transform your child’s bedroom into a cozy, functional retreat with our charming Wooden House Loft Bed—a space-saving design that combines sleep, study, and storage in one. Crafted from durable wood, this loft bed features a whimsical house-shaped frame that adds a playful touch to any room decor. Beneath the elevated sleeping area, a built-in desk provides a dedicated workspace for homework, crafts, or creative projects, while integrated drawers offer convenient storage for school supplies, toys, or clothing. On the side, additional cabinets provide extra room to organize books, games, or linens, keeping everything tidy and within reach. The sturdy ladder ensures safe and easy access to the top bunk, making it suitable for kids of all ages. The elevated design creates valuable floor space below, perfect for setting up a reading nook, play area, or extra seating.

Upgrade your child’s bedroom with this wood loft bed, designed to maximize vertical space while adding practical storage and organization. The elevated sleeping area creates ample under-bed space for a desk, reading nook, dresser, play area, or other everyday activities. Built-in storage shelves keep books, décor, and essentials within easy reach, while the convenient clothes hook provides a handy spot for backpacks, jackets, robes, or headphones. Crafted from solid wood in a clean white and natural finish, this space-saving loft bed frame combines everyday functionality with a modern look for kids’ rooms, teens’ bedrooms, and compact spaces.