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A History of Algebraic and Differential Topology, 1900 - 1960

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Cover of 'A History of Algebraic and Differential Topology, 1900 - 1960'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 The Work of Poincaré
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    Chapter 3 The Build-Up of “Classical” Homology
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    Chapter 4 The Beginnings of Differential Topology
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    Chapter 5 The Various Homology and Cohomology Theories
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    Chapter 6 Introduction
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    Chapter 7 The Concept of Degree
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    Chapter 8 Dimension Theory and Separation Theorems
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    Chapter 9 Fixed Points
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    Chapter 10 Local Homological Properties
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    Chapter 11 Quotient Spaces and Their Homology
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    Chapter 12 Homology of Groups and Homogeneous Spaces
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    Chapter 13 Applications of Homology to Geometry and Analysis
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    Chapter 14 Introduction
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    Chapter 15 Fundamental Group and Covering Spaces
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    Chapter 16 Elementary Notions and Early Results in Homotopy Theory
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    Chapter 17 Fibrations
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    Chapter 18 Homology of Fibrations
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    Chapter 19 Sophisticated Relations between Homotopy and Homology
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    Chapter 20 Cohomology Operations
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    Chapter 21 Generalized Homology and Cohomology
Attention for Chapter 9: Fixed Points
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