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BL
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| Record Number
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968987
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b723357
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| Main Entry
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Gray, Brayton.
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| Title & Author
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Homotopy theory : an introduction to algebraic topology.
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| Publication Statement
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Burlington :: Elsevier Science,, 1975.
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| Series Statement
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Pure and Applied Mathematics
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| Page. NO
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1 online resource (383 p.).
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| ISBN
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0080873804
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: 1281763527
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: 661176352X
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: 9780080873800
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: 9781281763525
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: 9786611763527
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| Notes
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Description based upon print version of record.
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| Contents
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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
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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
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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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| Abstract
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Homotopy theory: an introduction to algebraic topology.
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| Subject
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Homotopy theory.
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Geometry.
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Mathematical Theory.
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Mathematics.
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Physical Sciences Mathematics.
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| Dewey Classification
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510.8 s514.24510/.8 s 514/.24514.24
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| LC Classification
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QA3.P8 vol. 64QA612.7
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| Parallel Title
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Homotopy Theory An Introduction to Algebraic Topology
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