Lecture

The Degree of a Covering Space

In course

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Description

This lecture demonstrates that the index of the fundamental group of a covering space in the fundamental group of the space itself is equivalent to the degree of the covering space. It covers the cardinality of pre-images, induced homomorphisms, subgroup compositions, and the bijectivity of a defined map.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_p4vrxg25

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Ontological neighbourhood

Mathematics

Algebra: Representation theory

Education

Educational stages: Higher education

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