Fundamental Groups

In course

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Description

This lecture covers the definition of fundamental groups, homotopy classes of paths, and the concept of coverings in the context of connected manifolds. It also explores the relationship between path lifts, local homeomorphisms, and unique path existence. The instructor explains the fundamental theorem and its application in determining isomorphism between groups. The lecture concludes with exercises on computing fundamental groups and understanding the isomorphism of abstract groups.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_0k1r13i3

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Ontological neighbourhood

Mathematics

Algebra: Representation theory, Abstract algebra

Topology: Algebraic topology, General topology, Topics in topology, Manifolds

Geometry: Euclidean geometry, Algebraic geometry, Differential geometry

Logic

Classical logic: First-order logic

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