000 | 01849 a2200241 4500 | ||
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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 |