Differential Topology

Inbunden, Engelska, 2016

Del 156 i serien Cambridge Studies in Advanced Mathematics

929 kr

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Beskrivning

Exploring the full scope of differential topology, this comprehensive account of geometric techniques for studying the topology of smooth manifolds offers a wide perspective on the field. Building up from first principles, concepts of manifolds are introduced, supplemented by thorough appendices giving background on topology and homotopy theory. Deep results are then developed from these foundations through in-depth treatments of the notions of general position and transversality, proper actions of Lie groups, handles (up to the h-cobordism theorem), immersions and embeddings, concluding with the surgery procedure and cobordism theory. Fully illustrated and rigorous in its approach, little prior knowledge is assumed, and yet growing complexity is instilled throughout. This structure gives advanced students and researchers an accessible route into the wide-ranging field of differential topology.

Produktinformation

Utgivningsdatum:2016-07-04
Mått:157 x 229 x 25 mm
Vikt:640 g
Format:Inbunden
Språk:Engelska
Serie:Cambridge Studies in Advanced Mathematics
Antal sidor:353
Förlag:Cambridge University Press
ISBN:9781107153523

Utforska kategorier

Topologi inom Naturvetenskap och teknik

Mer om författaren

C. T. C. Wall is Emeritus Professor in the Division of Pure Mathematics at the University of Liverpool. During his career he has held positions at the University of Oxford and the University of Cambridge and has been invited as a major speaker to numerous conferences in Europe, the USA and South America. He was elected a Fellow of the Royal Society in 1969.

Recensioner i media

'The book is of the highest quality as far as scholarship and exposition are concerned, which fits with the fact that Wall is a very big player in this game. I have had occasion over the years to do a good deal of work from books in the Cambridge Studies in Advanced Mathematics Series, always top drawer productions, and the present volume is no exception. I very much look forward to making good use of this fine book.' Michael Berg, MAA Reviews

Innehållsförteckning

Introduction; 1. Foundations; 2. Geometrical tools; 3. Differentiable group actions; 4. General position and transversality; 5. Theory of handle decompositions; 6. Immersions and embeddings; 7. Surgery; 8. Cobordism; Appendix A. Topology; Appendix B. Homotopy theory; References; Index of notation; Index.