Homology Theory
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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.
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 : 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.
A Geometric Approach To Homology Theory
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Author : S. Buoncristiano
language : en
Publisher: Cambridge University Press
Release Date : 1976-04
A Geometric Approach To Homology Theory written by S. Buoncristiano and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-04 with Mathematics categories.
The purpose of these notes is to give a geometrical treatment of generalized homology and cohomology theories. The central idea is that of a 'mock bundle', which is the geometric cocycle of a general cobordism theory, and the main new result is that any homology theory is a generalized bordism theory. The book will interest mathematicians working in both piecewise linear and algebraic topology especially homology theory as it reaches the frontiers of current research in the topic. The book is also suitable for use as a graduate course in homology theory.
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.
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.
Homology Theory
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Author : Peter John Hilton
language : en
Publisher:
Release Date : 1962
Homology Theory written by Peter John Hilton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Homology theory categories.
Algebraic Topology Homotopy And Homology
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Author : Robert M. Switzer
language : en
Publisher: Springer
Release Date : 2017-12-01
Algebraic Topology Homotopy And Homology written by Robert M. Switzer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-01 with Mathematics categories.
From the reviews: "The author has attempted an ambitious and most commendable project. [...] The book contains much material that has not previously appeared in this format. The writing is clean and clear and the exposition is well motivated. [...] This book is, all in all, a very admirable work and a valuable addition to the literature." Mathematical Reviews
Homology Of Linear Groups
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Author : Kevin P. Knudson
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-12-01
Homology Of Linear Groups written by Kevin P. Knudson 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 2000-12-01 with Mathematics categories.
Daniel Quillen's definition of the higher algebraic K-groups of a ring emphasized the importance of computing the homology of groups of matrices. This text traces the development of this theory from Quillen's fundamental calculation. It presents the stability theorems and low-dimensional results of A. Suslin, W. van der Kallen and others are presented. Coverage also examines the Friedlander-Milnor-conjecture concerning the homology of algebraic groups made discrete.
On The Uniqueness Theorem Of Local Homology Theory
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Author : Sze-Tsen Hu
language : en
Publisher:
Release Date : 1959
On The Uniqueness Theorem Of Local 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 1959 with Homology theory categories.