Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

The Fundamental Group - Algebraic Topology

Insights into Mathematics via YouTube

Overview

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.

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

Reviews

Start your review of The Fundamental Group - Algebraic Topology

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.