Homology Of Cell Complexes
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Homology Of Cell Complexes
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Author : George E. Cooke
language : en
Publisher: Princeton University Press
Release Date : 2015-12-08
Homology Of Cell Complexes written by George E. Cooke 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 Science categories.
Originally published in volume 4 of the Princeton University Press Mathematical Notes series. Based on lecture notes by Norman E. Steenrod. Originally published in 1967. 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.
The Topology Of Cw Complexes
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Author : A.T. Lundell
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Topology Of Cw Complexes written by A.T. Lundell 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.
Most texts on algebraic topology emphasize homological algebra, with topological considerations limited to a few propositions about the geometry of simplicial complexes. There is much to be gained however, by using the more sophisticated concept of cell (CW) complex. Even for simple computations, this concept ordinarily allows us to bypass much tedious algebra and often gives geometric insight into the homology and homotopy theory of a space. For example, the easiest way to calculate and interpret the homology of Cpn, complex projective n-space, is by means of a cellular decomposition with only n+ 1 cells. Also, by a suitable construction we can "realize" the sin gular complex of a space as a CW complex and perhaps thus give a more geometric basis for some arguments involving singular homology theory for general spaces and a more concrete basis for singular ho motopy type. As a fInal example, if we start with the category of sim plicial complexes and maps, common topological constructions such as the formation of product spaces, identifIcation spaces, and adjunction spaces lead us often into the category of CW complexes. These topics, among others, are usually not treated thoroughly in a standard text, and the interested student must fInd them scattered through the literature. This book is a study of CW complexes. It is intended to supplement and be used concurrently with a standard text on algebraic topology.
Cellular Structures In Topology
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Author : Rudolf Fritsch
language : en
Publisher: Cambridge University Press
Release Date : 1990-09-27
Cellular Structures In Topology written by Rudolf Fritsch 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 1990-09-27 with Mathematics categories.
This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type. The authors discuss the foundations and also developments, for example, the theory of finite CW-complexes, CW-complexes in relation to the theory of fibrations, and Milnor's work on spaces of the type of CW-complexes. They establish very clearly the relationship between CW-complexes and the theory of simplicial complexes, which is developed in great detail. Exercises are provided throughout the book; some are straightforward, others extend the text in a non-trivial way. For the latter; further reference is given for their solution. Each chapter ends with a section sketching the historical development. An appendix gives basic results from topology, homology and homotopy theory. These features will aid graduate students, who can use the work as a course text. As a contemporary reference work it will be essential reading for the more specialized workers in algebraic topology and homotopy theory.
Homology Of Cell Complexes
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Author : George E. Cooke
language : en
Publisher:
Release Date : 1967
Homology Of Cell Complexes written by George E. Cooke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Complexes categories.
Cellular Structures In Topology
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Author : Rudolf Fritsch
language : en
Publisher: Cambridge University Press
Release Date : 1990-09-27
Cellular Structures In Topology written by Rudolf Fritsch 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 1990-09-27 with Mathematics categories.
This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type. The authors discuss the foundations and also developments, for example, the theory of finite CW-complexes, CW-complexes in relation to the theory of fibrations, and Milnor's work on spaces of the type of CW-complexes. They establish very clearly the relationship between CW-complexes and the theory of simplicial complexes, which is developed in great detail. Exercises are provided throughout the book; some are straightforward, others extend the text in a non-trivial way. For the latter; further reference is given for their solution. Each chapter ends with a section sketching the historical development. An appendix gives basic results from topology, homology and homotopy theory. These features will aid graduate students, who can use the work as a course text. As a contemporary reference work it will be essential reading for the more specialized workers in algebraic topology and homotopy theory.
The Ro G Graded Equivariant Ordinary Homology Of G Cell Complexes With Even Dimensional Cells For G Mathbb Z P
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date :
The Ro G Graded Equivariant Ordinary Homology Of G Cell Complexes With Even Dimensional Cells For G Mathbb Z P written by 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 with categories.
Homology Of Cell Complexes By G E Cooke And R L Finney Based On Lectures By N E Steenrod
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Author : George E. Cooke
language : en
Publisher:
Release Date :
Homology Of Cell Complexes By G E Cooke And R L Finney Based On Lectures By N E Steenrod written by George E. Cooke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Complexes categories.
Combinatorial Homotopy And 4 Dimensional Complexes
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Author : Hans-Joachim Baues
language : en
Publisher: Walter de Gruyter
Release Date : 2011-05-12
Combinatorial Homotopy And 4 Dimensional Complexes written by Hans-Joachim Baues and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-12 with Mathematics categories.
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)
Homology Theory Of Infinite Cell Complexes
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Author : Ali Salem Mohamed Mashour
language : en
Publisher:
Release Date : 1961
Homology Theory Of Infinite Cell Complexes written by Ali Salem Mohamed Mashour and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.
Homotopy Type And Homology
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Author : Hans J. Baues
language : en
Publisher: Oxford University Press
Release Date : 1996
Homotopy Type And Homology written by Hans J. Baues and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
This monograph represents an attempt to classify homotopy types of simply connected CW-complexes. It provides methods and examples of explicit homotopy classifications, and includes applications to the classification of manifolds.