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AlgTop24: The fundamental group

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Uploaded on Nov 20, 2010

This lecture introduces the fundamental group of a surface. We begin by discussing when two paths on a surface are homotopic, then defining multiplication of paths, and then multiplication of equivalence classes or types of loops based at a fixed point of the surface.

The fundamental groups of the disk and circle are described.

This is part of a beginner's course on Algebraic Topology given by N J Wildberger at UNSW.

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