Lecture

Singular homology

In course

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Description

This lecture introduces singular homology, defining a singular n-simplex as a continuous map on X, leading to the free abelian group Cn(X) consisting of all singular simplices in X. It explains the chain complex construction, the definition of the singular homology group Hi(X) as the kernel of a certain map, and the notation used in this context.

Instructor

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Official source

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

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Ontological neighbourhood

Mathematics

Topology: Algebraic topology

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