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Manifolds, Sheaves, and Cohomology

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Cover of 'Manifolds, Sheaves, and Cohomology'

Table of Contents

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    Book Overview
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    Chapter 1 Topological Preliminaries
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    Chapter 2 Algebraic Topological Preliminaries
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    Chapter 3 Sheaves
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    Chapter 4 Manifolds
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    Chapter 5 Linearization of Manifolds
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    Chapter 6 Lie Groups
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    Chapter 7 Torsors and Non-abelian \Čech Cohomology
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    Chapter 8 Bundles
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    Chapter 9 Soft Sheaves
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    Chapter 10 Cohomology of Complexes of Sheaves
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    Chapter 11 Cohomology of Constant Sheaves
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    Chapter 12 Appendix A: Basic Topology
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    Chapter 13 Appendix B: The Language of Categories
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    Chapter 14 Appendix C: Basic Algebra
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    Chapter 15 Appendix D: Homological Algebra
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    Chapter 16 Appendix E: Local Analysis
Attention for Chapter 11: Cohomology of Constant Sheaves
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