Homotopy theory, an introduction to algebraic topology

Description

Title page Preface List of Symbols 0 Preliminaries 1 Some Simple Topological Spaces 2 Some Simple Topological Problems 3 Homotopy Theory 4 Category Theory 5 The Fundamental Group 6 More on the Fundamental Group 7 Calculating the Fundamental Group 8 A Convenient Category of Topological Spaces 9 Track Groups and Homotopy Groups 10 Relative Homotopy Groups Il Locally Trivial Bundles 12 Simplicial Complexes and Linearity 13 Calculating Homotopy Groups: The Blakers-Massey Theorem 14 The Topology of CW Complexes 15 Limits 16 The Homotopy Theory of CW Complexes 17 K(π,n)'s and Postnikov Systems 18 Spectral Reduced Homology and Cohomology Theories 19 Spectral Unreduced Homology and Cohomology Theories 20 Ordinary Homology of CW CompJexes 21 Homology and Cohomology Groups of More General Spaces 22 The Re]ation between Homotopy and Ordinary Homology 23 Multiplicative Structure 24 Relations between Chain Complexes 25 Homological Algebra over a Principal Ideal Domain: Künneth and Universal Coefficient Theorems 26 Orientation and Duality 27 Cohomology Operations 28 Adem Relations 29 K-Theories 30 Cobordism Table 1 Adem Relations Sq^a Sq^b for a