Orthocompact space

Imagine a big, empty room that is really organized with everything in its proper place. When you walk around, you can easily see all the different objects and places in the room because they are neatly arranged. This is kind of like an orthocompact space!

An orthocompact space is a special kind of mathematical space that is really well-organized. It's like a big room with lots of little "rooms" or "sections" inside it that are all arranged in a very precise way. Just like how you can see all the objects in the organized room, in an orthocompact space you can easily see all the different parts of the space and how they fit together.

One of the reasons why orthocompact spaces are important is because they help people who study math to see how different spaces are related to each other. Kind of like when you organize your toys or books, you can see how they all fit together and how they belong in the same space.

So, in summary, an orthocompact space is a really organized math space that is made up of lots of smaller sections that all fit together in the right way. It helps us understand how different math spaces are related to each other.