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This lecture introduces the fundamental group of a surface by defining homotopic paths, path multiplication, and equivalence classes of loops based at a fixed point. It describes the fundamental groups of the disk and circle.
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