Explore the fundamental group of a surface in this 43-minute lecture on Algebraic Topology. Learn about homotopic paths, multiplication of paths, and equivalence classes of loops based at a fixed point. Discover the fundamental groups of the disk and circle as part of a beginner's course taught by N J Wildberger at UNSW. Delve into topics such as paths, homotopic paths, equivalence relations, constant loops, and special cases through examples and lemmas.
Overview
Syllabus
Introduction
Paths
Homotopic paths
Equivalence relation
homotopic to alpha
homotopic to gamma
constant loop
lemma
equivalence classes
special case
example
loops
main fact
Taught by
Insights into Mathematics
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