Simplicial homotopy

Simplicial homotopy is a branch of algebraic topology that studies topological spaces using simplicial complexes. It combines concepts from both homotopy theory and simplicial geometry. Here's a breakdown of what it involves and its significance: ### Key Concepts 1. **Simplicial Complexes**: A simplicial complex is a combinatorial structure made up of vertices, edges, triangles, and higher-dimensional simplices. It serves as a combinatorial model for topological spaces.