Equivariant Real Algebraic Differential Topology
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Equivariant Real Algebraic Differential Topology
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Author : Richard S. Palais
language : en
Publisher:
Release Date : 1972
Equivariant Real Algebraic Differential Topology written by Richard S. Palais and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Algebraic topology categories.
Real Algebraic Geometry And Topology
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Author : Selman Akbulut
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Real Algebraic Geometry And Topology written by Selman Akbulut 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 1995 with Mathematics categories.
This book contains the proceedings of the Real Algebraic Geometry-Topology Conference, held at Michigan State University in December 1993. Presented here are recent results and discussions of new ideas pertaining to such topics as resolution theorems, algebraic structures, topology of nonsingular real algebraic sets, and the distribution of real algebraic sets in projective space.
Equivariant Poincar Duality On G Manifolds
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Author : Alberto Arabia
language : en
Publisher: Springer Nature
Release Date : 2021-06-12
Equivariant Poincar Duality On G Manifolds written by Alberto Arabia and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-12 with Mathematics categories.
This book carefully presents a unified treatment of equivariant Poincaré duality in a wide variety of contexts, illuminating an area of mathematics that is often glossed over elsewhere. The approach used here allows the parallel treatment of both equivariant and nonequivariant cases. It also makes it possible to replace the usual field of coefficients for cohomology, the field of real numbers, with any field of arbitrary characteristic, and hence change (equivariant) de Rham cohomology to the usual singular (equivariant) cohomology . The book will be of interest to graduate students and researchers wanting to learn about the equivariant extension of tools familiar from non-equivariant differential geometry.
Real Algebraic Differential Topology
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Author : Richard S. Palais
language : en
Publisher:
Release Date : 1981
Real Algebraic Differential Topology written by Richard S. Palais and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.
Equivariant Topology And Derived Algebra
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Author : Scott Balchin
language : en
Publisher: Cambridge University Press
Release Date : 2021-11-18
Equivariant Topology And Derived Algebra written by Scott Balchin 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 2021-11-18 with Mathematics categories.
A collection of research papers, both new and expository, based on the interests of Professor J. P. C. Greenlees.
Mod Two Homology And Cohomology
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Author : Jean-Claude Hausmann
language : en
Publisher: Springer
Release Date : 2015-01-08
Mod Two Homology And Cohomology written by Jean-Claude Hausmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-08 with Mathematics categories.
Cohomology and homology modulo 2 helps the reader grasp more readily the basics of a major tool in algebraic topology. Compared to a more general approach to (co)homology this refreshing approach has many pedagogical advantages: 1. It leads more quickly to the essentials of the subject, 2. An absence of signs and orientation considerations simplifies the theory, 3. Computations and advanced applications can be presented at an earlier stage, 4. Simple geometrical interpretations of (co)chains. Mod 2 (co)homology was developed in the first quarter of the twentieth century as an alternative to integral homology, before both became particular cases of (co)homology with arbitrary coefficients. The first chapters of this book may serve as a basis for a graduate-level introductory course to (co)homology. Simplicial and singular mod 2 (co)homology are introduced, with their products and Steenrod squares, as well as equivariant cohomology. Classical applications include Brouwer's fixed point theorem, Poincaré duality, Borsuk-Ulam theorem, Hopf invariant, Smith theory, Kervaire invariant, etc. The cohomology of flag manifolds is treated in detail (without spectral sequences), including the relationship between Stiefel-Whitney classes and Schubert calculus. More recent developments are also covered, including topological complexity, face spaces, equivariant Morse theory, conjugation spaces, polygon spaces, amongst others. Each chapter ends with exercises, with some hints and answers at the end of the book.
An Introduction To Manifolds
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Author : Loring W. Tu
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-05
An Introduction To Manifolds written by Loring W. Tu 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 2010-10-05 with Mathematics categories.
Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way, the reader acquires the knowledge and skills necessary for further study of geometry and topology. The requisite point-set topology is included in an appendix of twenty pages; other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study. Requiring only minimal undergraduate prerequisites, 'Introduction to Manifolds' is also an excellent foundation for Springer's GTM 82, 'Differential Forms in Algebraic Topology'.
Equivariant Differential Topology In An O Minimal Expansion Of The Field Of Real Numbers
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Author : Tomohiro Kawakami
language : en
Publisher:
Release Date : 2018
Equivariant Differential Topology In An O Minimal Expansion Of The Field Of Real Numbers written by Tomohiro Kawakami and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
We establish basic properties of differential topology for defianable manifolds in an o-minimal expansion M of R = (R,+;.,
Differential Topology
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Author : Andrew H. Wallace
language : en
Publisher: Courier Corporation
Release Date : 2012-05-24
Differential 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 2012-05-24 with Mathematics categories.
Keeping mathematical prerequisites to a minimum, this undergraduate-level text stimulates students' intuitive understanding of topology while avoiding the more difficult subtleties and technicalities. Its focus is the method of spherical modifications and the study of critical points of functions on manifolds. No previous knowledge of topology is necessary for this text, which offers introductory material regarding open and closed sets and continuous maps in the first chapter. Succeeding chapters discuss the notions of differentiable manifolds and maps and explore one of the central topics of differential topology, the theory of critical points of functions on a differentiable manifold. Additional topics include an investigation of level manifolds corresponding to a given function and the concept of spherical modifications. The text concludes with applications of previously discussed material to the classification problem of surfaces and guidance, along with suggestions for further reading and study.
A History Of Algebraic And Differential Topology 1900 1960
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Author : Jean Dieudonné
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-09-01
A History Of Algebraic And Differential Topology 1900 1960 written by Jean Dieudonné 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 2009-09-01 with Mathematics categories.
This book is a well-informed and detailed analysis of the problems and development of algebraic topology, from Poincaré and Brouwer to Serre, Adams, and Thom. The author has examined each significant paper along this route and describes the steps and strategy of its proofs and its relation to other work. Previously, the history of the many technical developments of 20th-century mathematics had seemed to present insuperable obstacles to scholarship. This book demonstrates in the case of topology how these obstacles can be overcome, with enlightening results.... Within its chosen boundaries the coverage of this book is superb. Read it! —MathSciNet