A Guide to the Classification Theorem for Compact Surfaces (Geometry and Computing #9)

Description

The Classification Theorem: Informal Presentation.- Surfaces.- Simplices, Complexes, and Triangulations.- The Fundamental Group, Orientability.- Homology Groups.- The Classification Theorem for Compact Surfaces.- Viewing the Real Projective Plane in R3.- Proof of Proposition 5.1.- Topological Preliminaries.- History of the Classification Theorem.- Every Surface Can be Triangulated.- Notes​.