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Topological Stability of Smooth Mappings

Author: C.G. Gibson

Publisher: Springer

Published: 2006-11-14

Total Pages: 160

ISBN-13: 3540379576

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During the academic year 1974-75, the Department of Pure Mathematics in the University of Liverpool held a seminar on the topological stability of smooth mappings. The main objective was to piece together a complete proof of the topological stability theorem (conjectured by René Thom in 1960, and proved by John Mather in 1970) for which no published accounts existed. This volume comprises a write-up of the seminar by four of the participants. Any mathematician working in this area is conscious of a debt to the inventiveness of Thom, and to Mather for the technical work which placed much that was conjecture on firm mathematical foundations. The proof presented in these notes follows Thom's indications closely, and requires no more than some familiarity with differential topology and commutative algebra of the reader.

Book Synopsis Topological Stability of Smooth Mappings by : C.G. Gibson

Download or read book Topological Stability of Smooth Mappings written by C.G. Gibson and published by Springer. This book was released on 2006-11-14 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the academic year 1974-75, the Department of Pure Mathematics in the University of Liverpool held a seminar on the topological stability of smooth mappings. The main objective was to piece together a complete proof of the topological stability theorem (conjectured by René Thom in 1960, and proved by John Mather in 1970) for which no published accounts existed. This volume comprises a write-up of the seminar by four of the participants. Any mathematician working in this area is conscious of a debt to the inventiveness of Thom, and to Mather for the technical work which placed much that was conjecture on firm mathematical foundations. The proof presented in these notes follows Thom's indications closely, and requires no more than some familiarity with differential topology and commutative algebra of the reader.

Topological Stability of Smooth Mappings

Author: C. G. Gibson

Publisher:

Published: 2014-09-01

Total Pages: 168

ISBN-13: 9783662194935

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Book Synopsis Topological Stability of Smooth Mappings by : C. G. Gibson

Download or read book Topological Stability of Smooth Mappings written by C. G. Gibson and published by . This book was released on 2014-09-01 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lecture Notes in Mathematics

Author:

Publisher:

Published: 1964

Total Pages: 154

ISBN-13: 9780387079974

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Book Synopsis Lecture Notes in Mathematics by :

Download or read book Lecture Notes in Mathematics written by and published by . This book was released on 1964 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topological stability of smooth mappings

Author: C. G. Gibson

Publisher:

Published: 1976

Total Pages:

ISBN-13:

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Book Synopsis Topological stability of smooth mappings by : C. G. Gibson

Download or read book Topological stability of smooth mappings written by C. G. Gibson and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

C(ristopher) G. Gibson [u.a.] Topological stability of smooth mappings

Author:

Publisher:

Published: 1976

Total Pages:

ISBN-13:

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Book Synopsis C(ristopher) G. Gibson [u.a.] Topological stability of smooth mappings by :

Download or read book C(ristopher) G. Gibson [u.a.] Topological stability of smooth mappings written by and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

SELECTED PAPERS PRESENTED AT A SEMINAR ON THE TOPOLOGICAL STABILITY OF SMOOTH MAPPINGS- UNIVERSITY OF LIVERPOOL, DEPARTMENT OF PURE MATHEMATICS.

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Published:

Total Pages:

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Book Synopsis SELECTED PAPERS PRESENTED AT A SEMINAR ON THE TOPOLOGICAL STABILITY OF SMOOTH MAPPINGS- UNIVERSITY OF LIVERPOOL, DEPARTMENT OF PURE MATHEMATICS. by :

Download or read book SELECTED PAPERS PRESENTED AT A SEMINAR ON THE TOPOLOGICAL STABILITY OF SMOOTH MAPPINGS- UNIVERSITY OF LIVERPOOL, DEPARTMENT OF PURE MATHEMATICS. written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complements of Discriminants of Smooth Maps

Author: V. A. Vasilʹev

Publisher: American Mathematical Soc.

Published: 1994

Total Pages: 282

ISBN-13: 9780821898376

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* Up-to-date reference on this exciting area of mathematics * Discusses the wide range of applications in topology, algebraic geometry, and catastrophe theory.

Book Synopsis Complements of Discriminants of Smooth Maps by : V. A. Vasilʹev

Download or read book Complements of Discriminants of Smooth Maps written by V. A. Vasilʹev and published by American Mathematical Soc.. This book was released on 1994 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Up-to-date reference on this exciting area of mathematics * Discusses the wide range of applications in topology, algebraic geometry, and catastrophe theory.

Singularities of Mappings

Author: David Mond

Publisher: Springer Nature

Published: 2020-01-23

Total Pages: 567

ISBN-13: 3030344401

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The first monograph on singularities of mappings for many years, this book provides an introduction to the subject and an account of recent developments concerning the local structure of complex analytic mappings. Part I of the book develops the now classical real C∞ and complex analytic theories jointly. Standard topics such as stability, deformation theory and finite determinacy, are covered in this part. In Part II of the book, the authors focus on the complex case. The treatment is centred around the idea of the "nearby stable object" associated to an unstable map-germ, which includes in particular the images and discriminants of stable perturbations of unstable singularities. This part includes recent research results, bringing the reader up to date on the topic. By focusing on singularities of mappings, rather than spaces, this book provides a necessary addition to the literature. Many examples and exercises, as well as appendices on background material, make it an invaluable guide for graduate students and a key reference for researchers. A number of graduate level courses on singularities of mappings could be based on the material it contains.

Book Synopsis Singularities of Mappings by : David Mond

Download or read book Singularities of Mappings written by David Mond and published by Springer Nature. This book was released on 2020-01-23 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first monograph on singularities of mappings for many years, this book provides an introduction to the subject and an account of recent developments concerning the local structure of complex analytic mappings. Part I of the book develops the now classical real C∞ and complex analytic theories jointly. Standard topics such as stability, deformation theory and finite determinacy, are covered in this part. In Part II of the book, the authors focus on the complex case. The treatment is centred around the idea of the "nearby stable object" associated to an unstable map-germ, which includes in particular the images and discriminants of stable perturbations of unstable singularities. This part includes recent research results, bringing the reader up to date on the topic. By focusing on singularities of mappings, rather than spaces, this book provides a necessary addition to the literature. Many examples and exercises, as well as appendices on background material, make it an invaluable guide for graduate students and a key reference for researchers. A number of graduate level courses on singularities of mappings could be based on the material it contains.

Topology of Singular Fibers of Differentiable Maps

Author: Osamu Saeki

Publisher: Springer Science & Business Media

Published: 2004

Total Pages: 164

ISBN-13: 9783540230212

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Book Synopsis Topology of Singular Fibers of Differentiable Maps by : Osamu Saeki

Download or read book Topology of Singular Fibers of Differentiable Maps written by Osamu Saeki and published by Springer Science & Business Media. This book was released on 2004 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Encyclopaedia of Mathematics

Author: Michiel Hazewinkel

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 549

ISBN-13: 9401512353

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This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.