Algebraic Topology And Transformation Groups
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Algebraic Topology And Transformation Groups
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Author : Tammo tom Dieck
language : en
Publisher: Springer
Release Date : 2006-11-14
Algebraic Topology And Transformation Groups written by Tammo tom Dieck 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.
Transformation Groups
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Author : Tammo tom Dieck
language : en
Publisher: Walter de Gruyter
Release Date : 1987
Transformation Groups written by Tammo tom Dieck 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 1987 with Mathematics categories.
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.
Cohomology Theory Of Topological Transformation Groups
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Author : W.Y. Hsiang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Cohomology Theory Of Topological Transformation Groups written by W.Y. Hsiang 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.
Historically, applications of algebraic topology to the study of topological transformation groups were originated in the work of L. E. 1. Brouwer on periodic transformations and, a little later, in the beautiful fixed point theorem ofP. A. Smith for prime periodic maps on homology spheres. Upon comparing the fixed point theorem of Smith with its predecessors, the fixed point theorems of Brouwer and Lefschetz, one finds that it is possible, at least for the case of homology spheres, to upgrade the conclusion of mere existence (or non-existence) to the actual determination of the homology type of the fixed point set, if the map is assumed to be prime periodic. The pioneer result of P. A. Smith clearly suggests a fruitful general direction of studying topological transformation groups in the framework of algebraic topology. Naturally, the immediate problems following the Smith fixed point theorem are to generalize it both in the direction of replacing the homology spheres by spaces of more general topological types and in the direction of replacing the group tl by more general compact groups.
Transformation Groups And Algebraic K Theory
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Author : Wolfgang Lück
language : en
Publisher: Springer
Release Date : 2006-11-14
Transformation Groups And Algebraic K Theory written by Wolfgang Lück 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.
The book focuses on the relation between transformation groups and algebraic K-theory. The general pattern is to assign to a geometric problem an invariant in an algebraic K-group which determines the problem. The algebraic K-theory of modules over a category is studied extensively and appplied to the fundamental category of G-space. Basic details of the theory of transformation groups sometimes hard to find in the literature, are collected here (Chapter I) for the benefit of graduate students. Chapters II and III contain advanced new material of interest to researchers working in transformation groups, algebraic K-theory or related fields.
Transformation Groups For Beginners
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Author : Sergeĭ Vasilʹevich Duzhin
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Transformation Groups For Beginners written by Sergeĭ Vasilʹevich Duzhin 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 2004 with Mathematics categories.
Presents a discussion of algebraic operations on the points in the plane and rigid motions in the Euclidean plane. This work introduces the notions of a transformation group and of an abstract group. It gives an elementary exposition of the basic ideas of Sophus Lie about symmetries of differential equations.
Transformation Groups And Representation Theory
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Author : T. Tom Dieck
language : en
Publisher: Springer
Release Date : 2006-11-15
Transformation Groups And Representation Theory written by T. Tom Dieck and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Algebraic Topology And Related Topics
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Author : Mahender Singh
language : en
Publisher: Springer
Release Date : 2019-02-02
Algebraic Topology And Related Topics written by Mahender Singh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-02 with Mathematics categories.
This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the Indian Institute of Science Education and Research (IISER), Mohali, Punjab, India, from December 1 to 6, 2017. Algebraic topology is a broad area of mathematics that has seen enormous developments over the past decade, and as such this book is a valuable resource for graduate students and researchers working in the field.
Proceedings Of The Conference On Transformation Groups
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Author : P. S. Mostert
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Proceedings Of The Conference On Transformation Groups written by P. S. Mostert 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.
These Proceedings contain articles based on the lectures and in formal discussions at the Conference on Transformation Groups held at Tulane University, May 8 to June 2, 1967 under the sponsorship of the Advanced Science Seminar Projects of the National Science Foun dation (Contract No. GZ 400). They differ, however, from many such Conference proceedings in that particular emphasis has been given to the review and exposition of the state of the theory in its various mani festations, and the suggestion of direction to further research, rather than purely on the publication of research papers. That is not to say that there is no new material contained herein. On the contrary, there is an abundance of new material, many new ideas, new questions, and new conjectures~arefully incorporated within the framework of the theory as the various authors see it. An original objective of the Conference and of this report was to supply a much needed review of and supplement to the theory since the publication of the three standard works, MONTGOMERY and ZIPPIN, Topological Transformation Groups, Interscience Pub lishers, 1955, BOREL et aI. , Seminar on Transformation Groups, Annals of Math. Surveys, 1960, and CONNER and FLOYD, Differen tial Periodic Maps, Springer-Verlag, 1964. Considering this objective ambitious enough, it was decided to limit the survey to that part of Transformation Group Theory derived from the Montgomery School.
Topological Methods In Algebraic Transformation Groups
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Author : 3Island Press
language : en
Publisher:
Release Date : 1990-01-01
Topological Methods In Algebraic Transformation Groups written by 3Island Press and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-01 with categories.
Transformation Groups And Co Homology
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Author : Martin Fuchssteiner
language : en
Publisher:
Release Date : 2010
Transformation Groups And Co Homology written by Martin Fuchssteiner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
This text is primarily concerned with the extension of classical results in algebraic topology and related fields (such as homological algebra) to more general settings. The main subjects covered are the rational homology of H-spaces, simplicial spaces and geometric realisation, a construction of Eilenberg-Mac Lane spaces which are abelian topological groups, Whitehead and Postnikov towers utilising these abelian topological groups and the extensibility of local (continuous) group n-cocycles to global groups cocycles resp. the integration of Lie algebra n-cocycles to group n-cocycles.