Algebraic Topology Series: Understanding the Fundamental Group as a Group 🧠

Dive into the fundamentals of algebraic topology with this episode on the fundamental group. Learn how it is defined and why it forms a group—perfect for students and enthusiasts alike! Watch the full playlist: https://www.youtube.com/playlist?list=PLOROt

Algebraic Topology Series: Understanding the Fundamental Group as a Group 🧠
Math at Andrews University
17.5K views • Sep 21, 2023
Algebraic Topology Series: Understanding the Fundamental Group as a Group 🧠

About this video

Playlist: https://www.youtube.com/playlist?list=PLOROtRhtegr7DmeMyFxfKxsljAVsAn_X4

We recall the definition of the fundamental group develop in the previous lecture then prove that it is indeed a group. Finally, we show that the fundamental group of the circle is isomorphic to Z, the integers.

Presented by Anthony Bosman, PhD.
Learn more about math at Andrews University: https://www.andrews.edu/cas/math/
In this course we are following Hatcher, Algebraic Topology: https://pi.math.cornell.edu/~hatcher/AT/AT.pdf

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17.5K

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01:01:06

Published

Sep 21, 2023

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