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Singular homology

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics Fields of abstract algebra Algebraic topology Homology theory
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Singular homology is an important concept in algebraic topology, which provides a way to associate a sequence of abelian groups or vector spaces (called homology groups) to a topological space. These groups encapsulate information about the space's structure, such as its number of holes in various dimensions. ### Key Concepts: 1. **Simplices**: The building blocks of singular homology are simplices, which are generalizations of triangles.

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