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What is Algebraic Topology: Simplicial Homology about?
This document provides an introduction to simplicial homology, which is a method in algebraic topology that associates algebraic objects (groups) with topological spaces. It begins by defining concepts like convex sets, simplexes, and simplicial complexes that are used to construct polyhedra representing topological spaces. It then discusses how to define homology groups for oriented simplicial complexes and proves important properties like the topological invariance of homology. The document contains 9 cha
- Author
- diuhdv
- Language
- EN