Simplicial scheme

So, a simplicial scheme is a word that sounds complicated but is actually quite simple. It’s like a special kind of map that can help us understand certain shapes.

Imagine you have a shape, like a triangle. To understand this shape better, you could break it down into smaller pieces, like lines and points. These smaller pieces are called “simplices” (that’s a big word, but stick with me).

A simplicial scheme is a way of using these simplices to create a map of the shape. Think of it like a puzzle, where each piece is a simplex and we put them together to make the whole shape.

This map is very useful because it can help us understand how different parts of the shape fit together, and how we can change or transform the shape.

So, in summary, a simplicial scheme is a map made up of small pieces called simplices that can help us understand shapes and how they fit together.