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A basic course in algebraic topology

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Cover of 'A basic course in algebraic topology'

Table of Contents

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    Book Overview
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    Chapter 1 Two-Dimensional Manifolds
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    Chapter 2 The Fundamental Group
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    Chapter 3 Free Groups and Free Products of Groups
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    Chapter 4 Seifert and Van Kampen Theorem on the Fundamental Group of the Union of Two Spaces. Applications
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    Chapter 5 Covering Spaces
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    Chapter 6 Background and Motivation for Homology Theory
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    Chapter 7 Definitions and Basic Properties of Homology Theory
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    Chapter 8 Determination of the Homology Groups of Certain Spaces: Applications and Further Properties of Homology Theory
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    Chapter 9 Homology of CW-Complexes
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    Chapter 10 Homology with Arbitrary Coefficient Groups
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    Chapter 11 The Homology of Product Spaces
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    Chapter 12 Cohomology Theory
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    Chapter 13 Products in Homology and Cohomology
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    Chapter 14 Duality Theorems for the Homology of Manifolds
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    Chapter 15 Cup Products in Projective Spaces and Applications of Cup Products
Attention for Chapter 2: The Fundamental Group
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