Course

MATH-497: Topology IV.b - homotopy theory

Summary

We propose an introduction to homotopy theory for topological spaces. We define higher homotopy groups and relate them to homology groups. We introduce (co)fibration sequences, loop spaces, and suspensions. We study long exact sequences. We construct Eilenberg-Mac Lane spaces.

Official source

https://edu.epfl.ch/coursebook/en/topology-iv-b-homotopy-theory-MATH-497

Moodle Page

http://go.epfl.ch/MATH-497

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Ontological neighbourhood

Instructor

Lectures in this course (27)

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