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Algebraic Topology — Homotopy and Homology

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Cover of 'Algebraic Topology — Homotopy and Homology'

Table of Contents

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    Book Overview
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    Chapter 1 Some Facts from General Topology
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    Chapter 2 Categories, Functors and Natural Transformations
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    Chapter 3 Homotopy Sets and Groups
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    Chapter 4 Properties of the Homotopy Groups
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    Chapter 5 Fibrations
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    Chapter 6 CW -Complexes
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    Chapter 7 Homotopy Properties of CW -Complexes
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    Chapter 8 Homology and Cohomology Theories
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    Chapter 9 Spectra
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    Chapter 10 Representation Theorems
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    Chapter 11 Ordinary Homology Theory
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    Chapter 12 Vector Bundles and K -Theory
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    Chapter 13 Manifolds and Bordism
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    Chapter 14 Products
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    Chapter 15 Orientation and Duality
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    Chapter 16 Spectral Sequences
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    Chapter 17 Characteristic Classes
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    Chapter 18 Cohomology Operations and Homology Cooperations
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    Chapter 19 The Steenrod Algebra and its Dual
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    Chapter 20 The Adams Spectral Sequence and the e -Invariant
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    Chapter 21 Calculation of the Cobordism Groups
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