Front Cover; Homotopy Theory: An Introduction to Algebraic Topology; Copyright Page; Contents; Preface; List of Symbols; Chapter 0. Preliminaries; Chapter 1. Some Simple Topological Spaces; Chapter 2. Some Simple Topological Problems; Chapter 3. Homotopy Theory; Chapter 4. Category Theory; Chapter 5. The Fundamental Group; Chapter 6. More on the Fundamental Group; Chapter 7. Calculating the Fundamental Group; Chapter 8. A Convenient Category of Topological Spaces; Chapter 9. Track Groups and Homotopy Groups; Chapter 10. Relative Homotopy Groups; Chapter 11. Locally Trivial Bundles
Chapter 12. Simplicial Complexes and LinearityChapter 13. Calculating Homotopy Groups: The Blakers-Massey Theorem; Chapter 14. The Topology of CW Complexes; Chapter 15. Limits; Chapter 16. The Homotopy Theory of CW Complexes; Chapter 17. K(p, n)'s and Postnikov Systems; Chapter 18. Spectral Reduced Homology and Cohomology Theories; Chapter 19. Spectral Unreduced Homology and Cohomology Theories; Chapter 20. Ordinary Homology of CW Complexes; Chapter 21. Homology and Cohomology Groups of More General Spaces; Chapter 22. The Relation between Homotopy and Ordinary Homology
Chapter 23. Multiplicative StructureChapter 24. Relations between Chain Complexes; Chapter 25. Homological Algebra over a Principal Ideal Domain: Künneth and Universal Coefficient Theorems; Chapter 26. Orientation and Duality; Chapter 27. Cohomology Operations; Chapter 28. Adem Relations; Chapter 29. K-Theories; Chapter 30. Cobordism; References; Index
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Homotopy theory: an introduction to algebraic topology.
0-12-296050-5
Homotopy Theory An Introduction to Algebraic Topology