The Fundamental Group - Algebraic Topology

The Fundamental Group - Algebraic Topology

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.