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Global Homotopy Theory: New Mathematical Monographs, cartea 34

Autor Stefan Schwede
en Limba Engleză Hardback – 5 sep 2018
Equivariant homotopy theory started from geometrically motivated questions about symmetries of manifolds. Several important equivariant phenomena occur not just for a particular group, but in a uniform way for all groups. Prominent examples include stable homotopy, K-theory or bordism. Global equivariant homotopy theory studies such uniform phenomena, i.e. universal symmetries encoded by simultaneous and compatible actions of all compact Lie groups. This book introduces graduate students and researchers to global equivariant homotopy theory. The framework is based on the new notion of global equivalences for orthogonal spectra, a much finer notion of equivalence than is traditionally considered. The treatment is largely self-contained and contains many examples, making it suitable as a textbook for an advanced graduate class. At the same time, the book is a comprehensive research monograph with detailed calculations that reveal the intrinsic beauty of global equivariant phenomena.
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Specificații

ISBN-13: 9781108425810
ISBN-10: 110842581X
Pagini: 846
Dimensiuni: 158 x 235 x 46 mm
Greutate: 1.29 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria New Mathematical Monographs

Locul publicării:Cambridge, United Kingdom

Cuprins

1. Unstable global homotopy theory; 2. Ultra-commutative monoids; 3. Equivariant stable homotopy theory; 4. Global stable homotopy theory; 5. Ultra-commutative ring spectra; 6. Global Thom and K-theory spectra; Appendix A. Compactly generated spaces; Appendix B. Equivariant spaces; Appendix C. Enriched functor categories; Bibliography; Symbol Index; Index.

Recenzii

'This elegant monograph develops the theory of global equivariant spectra from scratch, discusses a wealth of interesting examples, and will no doubt be a catalyst for exciting developments in equivariant topology.' Gregory Z. Arone, Mathematical Reviews Clippings

Notă biografică


Descriere

A comprehensive, self-contained approach to global equivariant homotopy theory, with many detailed examples and sample calculations.