Cellular Homology: Applications

In course

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Description

This lecture explores how cellular homology can be applied to compute homology groups, focusing on examples like the orientable closed compact surface of genus 2 and the projective plane. The instructor demonstrates how to calculate homology groups for different surfaces and explains the concept of Euler characteristic, showing its independence of the choice of a CW complex structure and its homotopy invariance.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_pmtt5io0

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Ontological neighbourhood

Mathematics

Topology: Algebraic topology, Manifolds

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