Lecture

Singular Homology: First Properties

In course

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Description

This lecture covers the first properties of singular homology, including examples of simplicial homology, reduced homology groups, and the decomposition of top spaces. It explains how the boundary maps preserve the decomposition and the path-connected components of a space. The lecture also discusses the surjectivity of homomorphisms and the uniqueness of singular simplices in a topological space.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_j2m2ilk6

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Ontological neighbourhood

Mathematics

Topology: Algebraic topology

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