000 01849 a2200241 4500
003 ISI Library, Kolkata
005 20240912142632.0
008 240614b |||||||| |||| 00| 0 eng d
020 _a9781108425810
040 _aISI Library
_bEnglish
082 0 4 _223
_a514.24
_bSch412
100 1 _aSchwede, Stefan
_eauthor
245 1 0 _aGlobal homotopy theory/
_cStefan Schwede
260 _aUK:
_bCUP,
_c2018
300 _axviii.,828pages,
_c23cm.
504 _aInclude index
505 _a1.Unstable global homotopy theory -- 2.Ultra commutative monoids -- 3.Equivariant stable homotopy theory -- 4.Global stable homotopy theory -- 5.Ultra-commutative ing spectra -- 6.Global Thom and K-theory spectra
520 _aEquivariant 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.
650 4 _aMathematics
650 4 _aGeometry and Topology
650 4 _aNew Mathematicals Monographs
942 _cBK
_2ddc
999 _c433393
_d433393