Subanalytic set

Imagine you have a bunch of toys and you want to put them away in your toy box. You sort them into groups based on things like color, size, or type of toy. A subanalytic set is kinda like that, but with numbers and shapes instead of toys.

A subanalytic set is a way of grouping together shapes that have certain mathematical properties. For example, let's say we have a bunch of circles, triangles, squares, and rectangles. We can group together all the shapes that have a certain size or a certain number of sides. This is like sorting our toys based on size or type of toy.

But a subanalytic set is even more specific. It only includes shapes that can be described using certain mathematical equations. These equations might look really complicated to a five-year-old, but they basically describe the shape in terms of its size and position.

So a subanalytic set is like a special toy box for shapes that have specific mathematical equations that describe them. Just like we sort our toys into groups, mathematicians sort shapes into subanalytic sets based on these equations.