Singular Homology Theory


Singular Homology Theory
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Singular Homology Theory


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.



Singular Homology Theory


Singular Homology Theory
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Author : William S. Massey
language : en
Publisher:
Release Date : 1980

Singular Homology Theory written by William S. Massey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Homologie categories.




Homology Theory


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.


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.



Algebraic Topology


Algebraic Topology
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Author : Andrew H. Wallace
language : en
Publisher: Courier Corporation
Release Date : 2007-01-01

Algebraic Topology written by Andrew H. Wallace and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Mathematics categories.


Surveys several algebraic invariants, including the fundamental group, singular and Cech homology groups, and a variety of cohomology groups.



Homology Theory


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


Homology Theory
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Author : Sze-Tsen Hu
language : en
Publisher:
Release Date : 1966

Homology Theory written by Sze-Tsen Hu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Homology theory categories.




Equivariant Singular Homology And Cohomology I


Equivariant Singular Homology And Cohomology I
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Author : Sören Illman
language : en
Publisher: American Mathematical Soc.
Release Date : 1975

Equivariant Singular Homology And Cohomology I written by Sören Illman 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 1975 with Algebraic topology categories.


Let G be a topological group. We construct an equivariant homology and equivariant cohomology theory, defined on the category of all G-pairs and G-maps, which both satisfy all seven equivariant Eilenberg-Steenrod axioms and have a given covariant and contravariant, respectively, coefficient system as coefficients. We also establish some further properties of these equivariant singular homology and cohomology theories, such as, a naturality property in the transformation group, transfer homomorphisms and a cup-product in equivariant singular cohomology with coefficients in a commutative ring coefficient system.



Homology Theory On Algebraic Varieties


Homology Theory On Algebraic Varieties
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Author : Andrew H. Wallace
language : en
Publisher: Courier Corporation
Release Date : 2015-01-14

Homology Theory On Algebraic Varieties written by Andrew H. Wallace and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-14 with Mathematics categories.


Concise and authoritative monograph, geared toward advanced undergraduate and graduate students, covers linear sections, singular and hyperplane sections, Lefschetz's first and second theorems, the Poincaré formula, and invariant and relative cycles. 1958 edition.



Foundations Of Algebraic Topology


Foundations Of Algebraic Topology
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Author : Samuel Eilenberg
language : en
Publisher: Princeton University Press
Release Date : 2015-12-08

Foundations Of Algebraic Topology written by Samuel Eilenberg and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-08 with Mathematics categories.


The need for an axiomatic treatment of homology and cohomology theory has long been felt by topologists. Professors Eilenberg and Steenrod present here for the first time an axiomatization of the complete transition from topology to algebra. Originally published in 1952. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.



Algebraic Topology


Algebraic Topology
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Author : Marvin J. Greenberg
language : en
Publisher: CRC Press
Release Date : 2018-03-05

Algebraic Topology written by Marvin J. Greenberg and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-05 with Mathematics categories.


Great first book on algebraic topology. Introduces (co)homology through singular theory.