An Algebraic ZIP Proof of the Classification - Algebraic Topology - NJ Wildberger

Explore an algebraic version of Conway's ZIP proof for classifying two-dimensional surfaces in this 42-minute lecture on Algebraic Topology. Learn how to replace basic polygons with spheres containing holes and use algebraic notation to manipulate edges between these holes. Discover key concepts such as zipping spheres, handling opposite direction edges, and understanding neighborhoods as part of the proof strategy. Gain insights into this fundamental topic in topology, presented by Professor N J Wildberger from the School of Mathematics and Statistics at UNSW.

Introduction
John Conway
The basic idea
Conways idea
Sphere with a hole
Sphere with multiple holes
More than one sphere
Conways proof
Zipping spheres
Zipping opposite direction edges
Neighborhood
Separate
Strategy
Conclusion