Homology Theory [electronic resource] : An Introduction to Algebraic Topology /

Homology Theory [electronic resource] : An Introduction to Algebraic Topology /

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The 20 years since the publication of this book have been an era of continuing growth and development in the field of algebraic topology. New generations of young mathematicians have been trained, and classical problems have been solved, particularly through the application of geometry and knot theory. Diverse new resources for introductory coursework have appeared, but there is persistent interest in an intuitive treatment of the basic ideas. This second edition has been expanded through the addition of a chapter on covering spaces. By analysis of the lifting problem it introduces the funda­ mental group and explores its properties, including Van Kampen's Theorem and the relationship with the first homology group. It has been inserted after the third chapter since it uses some definitions and results included prior to that point. However, much of the material is directly accessible from the same background as Chapter 1, so there would be some flexibility in how these topics are integrated into a course. The Bibliography has been supplemented by the addition of selected books and historical articles that have appeared since 1973.

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Main Authors: Vick, James W. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: New York, NY : Springer New York : Imprint: Springer, 1994
Subjects:Mathematics., Topology., Algebraic topology., Algebraic Topology.,
Online Access:http://dx.doi.org/10.1007/978-1-4612-0881-5
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spelling KOHA-OAI-TEST:2111412018-07-30T23:43:25ZHomology Theory [electronic resource] : An Introduction to Algebraic Topology / Vick, James W. author. SpringerLink (Online service) textNew York, NY : Springer New York : Imprint: Springer,1994.engThe 20 years since the publication of this book have been an era of continuing growth and development in the field of algebraic topology. New generations of young mathematicians have been trained, and classical problems have been solved, particularly through the application of geometry and knot theory. Diverse new resources for introductory coursework have appeared, but there is persistent interest in an intuitive treatment of the basic ideas. This second edition has been expanded through the addition of a chapter on covering spaces. By analysis of the lifting problem it introduces the funda­ mental group and explores its properties, including Van Kampen's Theorem and the relationship with the first homology group. It has been inserted after the third chapter since it uses some definitions and results included prior to that point. However, much of the material is directly accessible from the same background as Chapter 1, so there would be some flexibility in how these topics are integrated into a course. The Bibliography has been supplemented by the addition of selected books and historical articles that have appeared since 1973.1 Singular Homology Theory -- 2 Attaching Spaces with Maps -- 3 The Eilenberg-Steenrod Axioms -- 4 Covering Spaces -- 5 Products -- 6 Manifolds and Poincaré Duality -- 7 Fixed-Point Theory -- Appendix I -- Appendix II -- References -- Books and Historical Articles Since 1973 -- Books and Notes -- Survey and Expository Articles.The 20 years since the publication of this book have been an era of continuing growth and development in the field of algebraic topology. New generations of young mathematicians have been trained, and classical problems have been solved, particularly through the application of geometry and knot theory. Diverse new resources for introductory coursework have appeared, but there is persistent interest in an intuitive treatment of the basic ideas. This second edition has been expanded through the addition of a chapter on covering spaces. By analysis of the lifting problem it introduces the funda­ mental group and explores its properties, including Van Kampen's Theorem and the relationship with the first homology group. It has been inserted after the third chapter since it uses some definitions and results included prior to that point. However, much of the material is directly accessible from the same background as Chapter 1, so there would be some flexibility in how these topics are integrated into a course. The Bibliography has been supplemented by the addition of selected books and historical articles that have appeared since 1973.Mathematics.Topology.Algebraic topology.Mathematics.Algebraic Topology.Topology.Springer eBookshttp://dx.doi.org/10.1007/978-1-4612-0881-5URN:ISBN:9781461208815
institution COLPOS
collection Koha
country México
countrycode MX
component Bibliográfico
access En linea
En linea
databasecode cat-colpos
tag biblioteca
region America del Norte
libraryname Departamento de documentación y biblioteca de COLPOS
language eng
topic Mathematics.
Topology.
Algebraic topology.
Mathematics.
Algebraic Topology.
Topology.
Mathematics.
Topology.
Algebraic topology.
Mathematics.
Algebraic Topology.
Topology.
spellingShingle Mathematics.
Topology.
Algebraic topology.
Mathematics.
Algebraic Topology.
Topology.
Mathematics.
Topology.
Algebraic topology.
Mathematics.
Algebraic Topology.
Topology.
Vick, James W. author.
SpringerLink (Online service)
Homology Theory [electronic resource] : An Introduction to Algebraic Topology /
description The 20 years since the publication of this book have been an era of continuing growth and development in the field of algebraic topology. New generations of young mathematicians have been trained, and classical problems have been solved, particularly through the application of geometry and knot theory. Diverse new resources for introductory coursework have appeared, but there is persistent interest in an intuitive treatment of the basic ideas. This second edition has been expanded through the addition of a chapter on covering spaces. By analysis of the lifting problem it introduces the funda­ mental group and explores its properties, including Van Kampen's Theorem and the relationship with the first homology group. It has been inserted after the third chapter since it uses some definitions and results included prior to that point. However, much of the material is directly accessible from the same background as Chapter 1, so there would be some flexibility in how these topics are integrated into a course. The Bibliography has been supplemented by the addition of selected books and historical articles that have appeared since 1973.
format Texto
topic_facet Mathematics.
Topology.
Algebraic topology.
Mathematics.
Algebraic Topology.
Topology.
author Vick, James W. author.
SpringerLink (Online service)
author_facet Vick, James W. author.
SpringerLink (Online service)
author_sort Vick, James W. author.
title Homology Theory [electronic resource] : An Introduction to Algebraic Topology /
title_short Homology Theory [electronic resource] : An Introduction to Algebraic Topology /
title_full Homology Theory [electronic resource] : An Introduction to Algebraic Topology /
title_fullStr Homology Theory [electronic resource] : An Introduction to Algebraic Topology /
title_full_unstemmed Homology Theory [electronic resource] : An Introduction to Algebraic Topology /
title_sort homology theory [electronic resource] : an introduction to algebraic topology /
publisher New York, NY : Springer New York : Imprint: Springer,
publishDate 1994
url http://dx.doi.org/10.1007/978-1-4612-0881-5
work_keys_str_mv AT vickjameswauthor homologytheoryelectronicresourceanintroductiontoalgebraictopology
AT springerlinkonlineservice homologytheoryelectronicresourceanintroductiontoalgebraictopology
_version_ 1756268891810562048

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