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What is Homology Groups and Simplicial Complexes about?

This document introduces homology theory by first defining simplices and simplicial complexes. It then defines homology groups using oriented simplices and the boundary operator. The equivalence of simplicial and singular homology is shown. Key concepts include: - Simplices are basic geometric shapes used to build simplicial complexes - Homology groups are defined by considering cycles (chains with zero boundary) modulo boundaries (cycles that bound other chains) - Simplicial and singular homology groups a

Author

Epic Win

Language

EN