More on the fundamental group | Algebraic Topology 25 | N J Wildberger

Описание: A continuation on the fundamental group of a surface, we prove that the multiplication of equivalence classes or types of loops from a base point does indeed form a group in the algebraic sense. We discuss the fundamental group of the torus and the projective plane.

This is part of a beginner's course on Algebraic Topology, given by N J Wildberger of UNSW.
Video Contents:
00:00 More on the fundamental group
01:50 Multiplication
03:04 Theorem
03:50 Proof -Identity & constant loop
08:40 Inverses
16:00 Associativity
20:00 picture examples
30:06 Projective plane
33:56 Problem 26. Describe...

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