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Combinatorial algebraic topology

Overview of attention for book
Cover of 'Combinatorial algebraic topology'

Table of Contents

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    Book Overview
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    Chapter 1 Overture
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    Chapter 2 Cell Complexes
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    Chapter 3 Homology Groups
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    Chapter 4 Concepts of Category Theory
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    Chapter 5 Exact Sequences
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    Chapter 6 Homotopy
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    Chapter 7 Cofibrations
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    Chapter 8 Principal Γ-Bundles and Stiefel—Whitney Characteristic Classes
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    Chapter 9 Combinatorial Complexes Melange
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    Chapter 10 Acyclic Categories
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    Chapter 11 Discrete Morse Theory
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    Chapter 12 Lexicographic Shellability
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    Chapter 13 Evasiveness and Closure Operators
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    Chapter 14 Colimits and Quotients
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    Chapter 15 Homotopy Colimits
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    Chapter 16 Spectral Sequences
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    Chapter 17 Chromatic Numbers and the Kneser Conjecture
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    Chapter 18 Structural Theory of Morphism Complexes
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    Chapter 19 Using Characteristic Classes to Design Tests for Chromatic Numbers of Graphs
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    Chapter 20 Applications of Spectral Sequences to Hom Complexes
Attention for Chapter 11: Discrete Morse Theory
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