Introduction to Algebraic Topology - Algebraic Topology - NJ Wildberger

Embark on a journey into one of the most dynamic and exciting areas of 20th-century mathematics with this introductory lecture on Algebraic Topology. Discover the roots of this field in the work of Riemann, Klein, and Poincaré, and explore its significance in modern physics. Gain insights into the main topics of the course, including homeomorphism, fundamental objects, and physical topology. Challenge yourself with three well-known problems presented during the lecture. Suitable for 3rd or 4th year undergraduate math students or those with mathematical maturity and a willingness to learn group theory, this lecture sets the foundation for understanding complex topological concepts and their applications in various scientific disciplines.

Introduction
History
Course Topics
Algebraic Topology
Homeomorphism
Fundamental Objects
Dodecahedron
Icosahedron
Physical Topology
Mathematical Foundations
Sam Lloyd Puzzle
Jar Hollow Puzzle