Lecture

Path Lifting

In course

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Description

This lecture explains the lifting of paths and loops on covering spaces, focusing on the relationship between the fundamental group of the covering space and the fundamental group of the underlying space. It covers the uniqueness of lifts, the Homotopy Lifting Property, and the Path Lifting Property, providing insights into the injectivity of homomorphisms and the image of the homomorphism. The lecture concludes with a detailed proof of the properties discussed.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_n585a7y9

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Ontological neighbourhood

Mathematics

Topology: Algebraic topology

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