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Basic Algebraic Topology
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Basic Algebraic Topology

Basic Algebraic Topology

ByAnant R. Shastri
Edition 1st Edition
First Published 2013
eBook Published 3 February 2016
Pub. location New York
Imprint Chapman and Hall/CRC
DOIhttps://doi.org/10.1201/b15776
Pages 551 pages
eBook ISBN 9781466562448
SubjectsMathematics & Statistics
Get Citation

Get Citation

Shastri, A. (2013). Basic Algebraic Topology. New York: Chapman and Hall/CRC, https://doi.org/10.1201/b15776
ABOUT THIS BOOK

Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology. The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes, and si

TABLE OF CONTENTS
chapter 1|62 pages
Introduction
View abstract
chapter 2|64 pages
Cell Complexes and Simplicial Complexes
View abstract
chapter 3|42 pages
Covering Spaces and Fundamental Group
View abstract
chapter 4|44 pages
Homology Groups
View abstract
chapter 5|40 pages
Topology of Manifolds
View abstract
chapter 6|20 pages
Universal Coefficient Theorem for Homology
View abstract
chapter 7|30 pages
Cohomology
View abstract
chapter 8|26 pages
Homology of Manifolds
View abstract
chapter 9|28 pages
Cohomology of Sheaves
View abstract
chapter 10|58 pages
Homotopy Theory
View abstract
chapter 11|30 pages
Homology of Fibre Spaces
View abstract
chapter 12|18 pages
Characteristic Classes
View abstract
chapter 13|68 pages
Spectral Sequences
View abstract

Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology. The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes, and si

TABLE OF CONTENTS
chapter 1|62 pages
Introduction
View abstract
chapter 2|64 pages
Cell Complexes and Simplicial Complexes
View abstract
chapter 3|42 pages
Covering Spaces and Fundamental Group
View abstract
chapter 4|44 pages
Homology Groups
View abstract
chapter 5|40 pages
Topology of Manifolds
View abstract
chapter 6|20 pages
Universal Coefficient Theorem for Homology
View abstract
chapter 7|30 pages
Cohomology
View abstract
chapter 8|26 pages
Homology of Manifolds
View abstract
chapter 9|28 pages
Cohomology of Sheaves
View abstract
chapter 10|58 pages
Homotopy Theory
View abstract
chapter 11|30 pages
Homology of Fibre Spaces
View abstract
chapter 12|18 pages
Characteristic Classes
View abstract
chapter 13|68 pages
Spectral Sequences
View abstract
CONTENTS
ABOUT THIS BOOK

Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology. The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes, and si

TABLE OF CONTENTS
chapter 1|62 pages
Introduction
View abstract
chapter 2|64 pages
Cell Complexes and Simplicial Complexes
View abstract
chapter 3|42 pages
Covering Spaces and Fundamental Group
View abstract
chapter 4|44 pages
Homology Groups
View abstract
chapter 5|40 pages
Topology of Manifolds
View abstract
chapter 6|20 pages
Universal Coefficient Theorem for Homology
View abstract
chapter 7|30 pages
Cohomology
View abstract
chapter 8|26 pages
Homology of Manifolds
View abstract
chapter 9|28 pages
Cohomology of Sheaves
View abstract
chapter 10|58 pages
Homotopy Theory
View abstract
chapter 11|30 pages
Homology of Fibre Spaces
View abstract
chapter 12|18 pages
Characteristic Classes
View abstract
chapter 13|68 pages
Spectral Sequences
View abstract

Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology. The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes, and si

TABLE OF CONTENTS
chapter 1|62 pages
Introduction
View abstract
chapter 2|64 pages
Cell Complexes and Simplicial Complexes
View abstract
chapter 3|42 pages
Covering Spaces and Fundamental Group
View abstract
chapter 4|44 pages
Homology Groups
View abstract
chapter 5|40 pages
Topology of Manifolds
View abstract
chapter 6|20 pages
Universal Coefficient Theorem for Homology
View abstract
chapter 7|30 pages
Cohomology
View abstract
chapter 8|26 pages
Homology of Manifolds
View abstract
chapter 9|28 pages
Cohomology of Sheaves
View abstract
chapter 10|58 pages
Homotopy Theory
View abstract
chapter 11|30 pages
Homology of Fibre Spaces
View abstract
chapter 12|18 pages
Characteristic Classes
View abstract
chapter 13|68 pages
Spectral Sequences
View abstract
ABOUT THIS BOOK
ABOUT THIS BOOK

Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology. The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes, and si

TABLE OF CONTENTS
chapter 1|62 pages
Introduction
View abstract
chapter 2|64 pages
Cell Complexes and Simplicial Complexes
View abstract
chapter 3|42 pages
Covering Spaces and Fundamental Group
View abstract
chapter 4|44 pages
Homology Groups
View abstract
chapter 5|40 pages
Topology of Manifolds
View abstract
chapter 6|20 pages
Universal Coefficient Theorem for Homology
View abstract
chapter 7|30 pages
Cohomology
View abstract
chapter 8|26 pages
Homology of Manifolds
View abstract
chapter 9|28 pages
Cohomology of Sheaves
View abstract
chapter 10|58 pages
Homotopy Theory
View abstract
chapter 11|30 pages
Homology of Fibre Spaces
View abstract
chapter 12|18 pages
Characteristic Classes
View abstract
chapter 13|68 pages
Spectral Sequences
View abstract

Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology. The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes, and si

TABLE OF CONTENTS
chapter 1|62 pages
Introduction
View abstract
chapter 2|64 pages
Cell Complexes and Simplicial Complexes
View abstract
chapter 3|42 pages
Covering Spaces and Fundamental Group
View abstract
chapter 4|44 pages
Homology Groups
View abstract
chapter 5|40 pages
Topology of Manifolds
View abstract
chapter 6|20 pages
Universal Coefficient Theorem for Homology
View abstract
chapter 7|30 pages
Cohomology
View abstract
chapter 8|26 pages
Homology of Manifolds
View abstract
chapter 9|28 pages
Cohomology of Sheaves
View abstract
chapter 10|58 pages
Homotopy Theory
View abstract
chapter 11|30 pages
Homology of Fibre Spaces
View abstract
chapter 12|18 pages
Characteristic Classes
View abstract
chapter 13|68 pages
Spectral Sequences
View abstract
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