Preface - pi.math.cornell.edu
Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ixStandard Notations 0. Some Underlying Geometric Notions. . . . . 1Homotopy and Homotopy Type 1. Cell Complexes on Spaces 8. Two Criteria for Homotopy Equivalence Homotopy Extension Property 1. The Fundamental Group. . . . . . . . . . . . . Basic Constructions. . . . . . . . . . . . . . . . . . . . . 25Paths and Homotopy 25. The Fundamental Group of the Circle Homomorphisms Van Kampen s Theorem. . . . . . . . . . . . . . . . . . . 40Free Products of Groups 41. The van Kampen Theorem to Cell Complexes Covering Spaces. . . . . . . . . . . . . . . . . . . . . . . . 56Lifting Properties 60. The Classification of Covering Spaces Transformations and Group Actions Graphs and Free Groups K(G,1) Spaces and Graphs of Groups 2. Homology. . . . . . . . . . . . . . . . . . . . . . . Simplicial and Singular Homology. . . . . . . . . . . . . 102 Complexes 102.
Preface xi Eilenberg and Zilber in 1950 under the name of semisimplicial complexes. Soon after this, additional structure in the form of certain ‘degeneracy maps’ was introduced,
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