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Global Homotopy Theory on Hardback by Stefan Schwede
Global Homotopy Theory on Hardback by Stefan Schwede
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Global Homotopy Theory

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Description

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.

Author Biography:

Stefan Schwede is Professor in the Mathematical Institute at the Rheinische Friedrich-Wilhelms-Universität Bonn. His main area of expertise is algebraic topology, specifically stable homotopy theory.
Release date NZ
September 6th, 2018
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises
Pages
846
Dimensions
158x235x46
ISBN-13
9781108425810
Product ID
27807685

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