#algebraic-topology

55. Algebraic Topology

This volume studies topological spaces through algebraic invariants. It translates geometric and continuous structure into groups, rings, modules, and homological data. Part I. Fundamental Constructions Chapter 1. Spaces and Maps 1.1 Topological spaces 1.2 Continuous maps 1.3 Homotopy 1.4 Homotopy equivalence 1.5 Examples Chapter 2. Fundamental Group 2.1 Paths and loops 2.2 Homotopy classes 2.3 Definition of π₁ 2.4 Functoriality 2.5 Examples Chapter 3. Covering Spaces 3.1 Covering maps 3.2...