Intersection homology

Intersection homology is a fancy math thing that helps us understand shapes and spaces better. Imagine you have a big toy box filled with different shaped blocks. Now, let's say you want to understand how many corners each block has, but the problem is that some blocks have corners that line up with the corners of other blocks. To understand this better, you need to look at where the blocks intersect.

This is what intersection homology is all about. It's a way to look at the intersections of different shapes or spaces to understand them better. We can use this math to study different kinds of shapes and spaces, like curves, surfaces, or even more complicated things like manifolds.

Basically, intersection homology helps us see things more clearly by focusing on where things overlap or intersect. It's like looking at the parts of a picture where two colors meet, so you can understand the picture better as a whole.