ELI5: Explain Like I'm 5

Constructible sheaf

Okay, kiddo! So, imagine you have a bunch of straws, and you want to make a cool structure out of them, like a fort or a tower or a bridge. A constructible sheaf is kind of like a set of instructions for building something out of straws, but instead of telling you how to build a physical thing, it tells you how to build a mathematical thing called a sheaf.

Now, a sheaf is like a collection of little mathematical objects that live on different parts of a bigger mathematical object. Kind of like how there might be different people or animals or things living in different rooms of your house. A sheaf helps us understand how these different objects fit together and interact with each other.

So, a constructible sheaf tells us how to build a sheaf (like a fort or a tower) from smaller mathematical "building blocks". But there's a catch - we can only use certain types of building blocks for this construction. These building blocks are called "constructible" because they have a special property that makes them easy to work with when building the sheaf.

Overall, the idea of a constructible sheaf is like having a set of instructions for building a cool and interesting mathematical structure using simple building blocks - kind of like how you might build a fort or a tower out of straws. It helps us understand how different mathematical objects fit together, and gives us a way to manipulate and study these objects in a systematic way.