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Basic Algebraic Topology and its Applications

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Cover of 'Basic Algebraic Topology and its Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Prerequisite Concepts and Notations
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    Chapter 2 Homotopy Theory: Elementary Basic Concepts
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    Chapter 3 The Fundamental Groups
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    Chapter 4 Covering Spaces
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    Chapter 5 Fiber Bundles, Vector Bundles and K -Theory
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    Chapter 6 Geometry of Simplicial Complexes and Fundamental Groups of Polyhedra
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    Chapter 7 Higher Homotopy Groups
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    Chapter 8 CW -Complexes and Homotopy
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    Chapter 9 Products in Homotopy Theory
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    Chapter 10 Homology and Cohomology Theories
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    Chapter 11 Eilenberg–MacLane Spaces
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    Chapter 12 Eilenberg–Steenrod Axioms for Homology and Cohomology Theories
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    Chapter 13 Consequences of the Eilenberg–Steenrod Axioms
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    Chapter 14 Applications
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    Chapter 15 Spectral Homology and Cohomology Theories
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    Chapter 16 Obstruction Theory
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    Chapter 17 More Relations Between Homology and Homotopy
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    Chapter 18 A Brief History of Algebraic Topology
Attention for Chapter 3: The Fundamental Groups
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