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 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.
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.
Lectures On Algebraic And Differential Topology
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Author : R. Bott
language : en
Publisher: Springer
Release Date : 2006-11-15
Lectures On Algebraic And Differential Topology written by R. Bott 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 Via Differential Geometry
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Author : M. Karoubi
language : en
Publisher: Cambridge University Press
Release Date : 1987
Algebraic Topology Via Differential Geometry written by M. Karoubi 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 1987 with Mathematics categories.
In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and the algebra required. The reader is introduced to De Rham cohomology, and explicit and detailed calculations are present as examples. Topics covered include Mayer-Vietoris exact sequences, relative cohomology, Pioncare duality and Lefschetz's theorem. This book will be suitable for graduate students taking courses in algebraic topology and in differential topology. Mathematicians studying relativity and mathematical physics will find this an invaluable introduction to the techniques of differential geometry.
Differential Topology
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Author : J. Margalef-Roig
language : en
Publisher: Elsevier
Release Date : 1992-06-02
Differential Topology written by J. Margalef-Roig and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-06-02 with Mathematics categories.
...there are reasons enough to warrant a coherent treatment of the main body of differential topology in the realm of Banach manifolds, which is at the same time correct and complete. This book fills the gap: whenever possible the manifolds treated are Banach manifolds with corners. Corners add to the complications and the authors have carefully fathomed the validity of all main results at corners. Even in finite dimensions some results at corners are more complete and better thought out here than elsewhere in the literature. The proofs are correct and with all details. I see this book as a reliable monograph of a well-defined subject; the possibility to fall back to it adds to the feeling of security when climbing in the more dangerous realms of infinite dimensional differential geometry. Peter W. Michor
Lectures On Differential Topology
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Author : Riccardo Benedetti
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-10-27
Lectures On Differential Topology written by Riccardo Benedetti 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 2021-10-27 with Education categories.
This book gives a comprehensive introduction to the theory of smooth manifolds, maps, and fundamental associated structures with an emphasis on “bare hands” approaches, combining differential-topological cut-and-paste procedures and applications of transversality. In particular, the smooth cobordism cup-product is defined from scratch and used as the main tool in a variety of settings. After establishing the fundamentals, the book proceeds to a broad range of more advanced topics in differential topology, including degree theory, the Poincaré-Hopf index theorem, bordism-characteristic numbers, and the Pontryagin-Thom construction. Cobordism intersection forms are used to classify compact surfaces; their quadratic enhancements are developed and applied to studying the homotopy groups of spheres, the bordism group of immersed surfaces in a 3-manifold, and congruences mod 16 for the signature of intersection forms of 4-manifolds. Other topics include the high-dimensional h h-cobordism theorem stressing the role of the “Whitney trick”, a determination of the singleton bordism modules in low dimensions, and proofs of parallelizability of orientable 3-manifolds and the Lickorish-Wallace theorem. Nash manifolds and Nash's questions on the existence of real algebraic models are also discussed. This book will be useful as a textbook for beginning masters and doctoral students interested in differential topology, who have finished a standard undergraduate mathematics curriculum. It emphasizes an active learning approach, and exercises are included within the text as part of the flow of ideas. Experienced readers may use this book as a source of alternative, constructive approaches to results commonly presented in more advanced contexts with specialized techniques.
Algebraic And Differential Topology
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Author : R.V. Gamkrelidze
language : en
Publisher: Routledge
Release Date : 2022-01-27
Algebraic And Differential Topology written by R.V. Gamkrelidze and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-27 with Mathematics categories.
Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory. It first defines the concept of a complex and its Betti groups, then discusses the topolgoical invariance of a Betti group. The book next presents various applications of homology theory, such as mapping of polyhedrons onto other polyhedrons as well as onto themselves. The third volume in L.S. Pontryagin's Selected Works, this book provides as many insights into algebraic topology for today's mathematician as it did when the author was making his initial endeavors into this field.
Elements Of Differential Topology
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Author : Anant R. Shastri
language : en
Publisher: CRC Press
Release Date : 2011-03-04
Elements Of Differential Topology written by Anant R. Shastri and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-04 with Mathematics categories.
Derived from the author's course on the subject, Elements of Differential Topology explores the vast and elegant theories in topology developed by Morse, Thom, Smale, Whitney, Milnor, and others. It begins with differential and integral calculus, leads you through the intricacies of manifold theory, and concludes with discussions on algebraic topol
Differential Topology
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Author : Morris W. Hirsch
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Differential Topology written by Morris W. Hirsch 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.
"A very valuable book. In little over 200 pages, it presents a well-organized and surprisingly comprehensive treatment of most of the basic material in differential topology, as far as is accessible without the methods of algebraic topology....There is an abundance of exercises, which supply many beautiful examples and much interesting additional information, and help the reader to become thoroughly familiar with the material of the main text." —MATHEMATICAL REVIEWS