Homology Theory
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Homology Theory
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Author : James W. Vick
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-01-07
Homology Theory written by James W. Vick and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-07 with Mathematics categories.
This introduction to some basic ideas in algebraic topology is devoted to the foundations and applications of homology theory. After the essentials of singular homology and some important applications are given, successive topics covered include attaching spaces, finite CW complexes, cohomology products, manifolds, Poincare duality, and fixed point theory. This second edition includes a chapter on covering spaces and many new exercises.
Homology Theory
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Author : P. J. Hilton
language : en
Publisher: CUP Archive
Release Date : 1967
Homology Theory written by P. J. Hilton and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Mathematics categories.
This account of algebraic topology is complete in itself, assuming no previous knowledge of the subject. It is used as a textbook for students in the final year of an undergraduate course or on graduate courses and as a handbook for mathematicians in other branches who want some knowledge of the subject.
Homology Theory
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Author :
language : en
Publisher: Academic Press
Release Date : 1973-06-06
Homology Theory written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-06-06 with Mathematics categories.
Homology Theory
Elements Of Homology Theory
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Author : V. V. Prasolov
language : en
Publisher: American Mathematical Society
Release Date : 2025-02-04
Elements Of Homology Theory written by V. V. Prasolov and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-04 with Mathematics categories.
The book is a continuation of the previous book by the author (Elements of Combinatorial and Differential Topology, Graduate Studies in Mathematics, Volume 74, American Mathematical Society, 2006). It starts with the definition of simplicial homology and cohomology, with many examples and applications. Then the Kolmogorov–Alexander multiplication in cohomology is introduced. A significant part of the book is devoted to applications of simplicial homology and cohomology to obstruction theory, in particular, to characteristic classes of vector bundles. The later chapters are concerned with singular homology and cohomology, and Čech and de Rham cohomology. The book ends with various applications of homology to the topology of manifolds, some of which might be of interest to experts in the area. The book contains many problems; almost all of them are provided with hints or complete solutions.
Homology Theory
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Author : James W. Vick
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Homology Theory written by James W. Vick and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Elements Of Homology Theory
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Author : Viktor Vasilʹevich Prasolov
language : en
Publisher: American Mathematical Soc.
Release Date : 2007
Elements Of Homology Theory written by Viktor Vasilʹevich Prasolov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
The book is a continuation of the previous book by the author (Elements of Combinatorial and Differential Topology, Graduate Studies in Mathematics, Volume 74, American Mathematical Society, 2006). It starts with the definition of simplicial homology and cohomology, with many examples and applications. Then the Kolmogorov-Alexander multiplication in cohomology is introduced. A significant part of the book is devoted to applications of simplicial homology and cohomology to obstruction theory, in particular, to characteristic classes of vector bundles. The later chapters are concerned with singular homology and cohomology, and Cech and de Rham cohomology. The book ends with various applications of homology to the topology of manifolds, some of which might be of interest to experts in the area. The book contains many problems; almost all of them are provided with hints or complete solutions.
Topics In The Homology Theory Of Fibre Bundles
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Author : Armand Borel
language : en
Publisher: Springer
Release Date : 2006-11-14
Topics In The Homology Theory Of Fibre Bundles written by Armand Borel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Singular Homology Theory
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Author : W.S. Massey
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Singular Homology Theory written by W.S. Massey and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This textbook on homology and cohomology theory is geared towards the beginning graduate student. Singular homology theory is developed systematically, avoiding all unnecessary definitions, terminology, and technical machinery. Wherever possible, the geometric motivation behind various algebraic concepts is emphasized. The only formal prerequisites are knowledge of the basic facts of abelian groups and point set topology. Singular Homology Theory is a continuation of t he author's earlier book, Algebraic Topology: An Introduction, which presents such important supplementary material as the theory of the fundamental group and a thorough discussion of 2-dimensional manifolds. However, this earlier book is not a prerequisite for understanding Singular Homology Theory.
Homology Theory
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Author : Peter Hilton
language : en
Publisher:
Release Date : 1965
Homology Theory written by Peter Hilton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Homology theory categories.
Category Theory Homology Theory And Their Applications Proceedings Of The Conference Held At The Seattle Research Of The Battelle Memorial Institute June 24 July 19 1968
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Author : P.J. Hilton
language : en
Publisher: Springer
Release Date : 2006-11-14
Category Theory Homology Theory And Their Applications Proceedings Of The Conference Held At The Seattle Research Of The Battelle Memorial Institute June 24 July 19 1968 written by P.J. Hilton and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.