∞-topos

An ∞-topos is like a special kind of playground where we can play with really big mathematical ideas like infinity and space. Think of it like a giant lego set – we can build all kinds of amazing things with it!

But, in this playground, the legos are actually categories – which are just big groups of things that have some kind of relationship to each other. And we have a special way of putting these categories together to create even bigger categories.

So, imagine we have a bunch of legos that represent different categories, and we put them together to form something we call an ∞-category. This ∞-category is like a really big container that holds all the other categories as its parts.

Now, we can play with the ∞-category and explore things like infinity and space. For example, we might look at how different parts of the ∞-category relate to each other, or how they fit together to form a bigger picture.

It's a really big and complex playground, but by breaking it down into smaller and simpler parts, we can have lots of fun exploring and learning about all kinds of amazing mathematical ideas.