000			02844nam a22003978i 4500
001			CR9780511529955
003			UkCbUP
005			20200124160230.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090409s2004||||enk o ||1 0|eng|d
020			_a9780511529955 (ebook)
020			_z9780521603058 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA247 _b.S84 2004
082	0	0	_a512/.4 _222
245	0	0	_aStructured ring spectra / _cedited by Andrew Baker, Birgit Richter.
264		1	_aCambridge : _bCambridge University Press, _c2004.
300			_a1 online resource (236 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v315
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_a1. The development of structured ring spectra Anthony Elmendorf -- 2. Compromises forced by Lewis's Theorem Anthony Elmendorf -- 3. Permutative categories as a model of connective stable homotopy Anthony Elmendorf and Michael Mandell -- 4. Morita Theory in Abelian, derived and stable model categories Stefan Schwede -- 5. Higher coherences in equivariant K-theory Michael Joachim -- 6. Co-homology theories for commutative S-algebras Maria Basterra and Birgit Richter -- 7. Classical obstructions and S-algebras Alan Robinson -- 8. Moduli spaces of commutative ring spectra Paul Goerss and Michael Hopkins -- 9. Cohomology theories for highly structured ring spectra Andrey Lazarev.
520			_aWithin algebraic topology, the prominent role of multiplicative cohomology theories has led to a great deal of foundational research on ring spectra and in the 1990s this gave rise to significant new approaches to constructing categories of spectra and ring-like objects in them. This book contains some important new contributions to the theory of structured ring spectra as well as survey papers describing these and relationships between them. One important aspect is the study of strict multiplicative structures on spectra and the development of obstruction theories to imposing strictly associative and commutative ring structures on spectra. A different topic is the transfer of classical algebraic methods and ideas, such as Morita theory, to the world of stable homotopy.
650		0	_aRings (Algebra)
650		0	_aSpectral theory (Mathematics)
650		0	_aCategories (Mathematics)
650		0	_aHomotopy theory.
700	1		_aBaker, Andrew, _d1953- _eeditor.
700	1		_aRichter, Birgit, _d1971- _eeditor.
776	0	8	_iPrint version: _z9780521603058
830		0	_aLondon Mathematical Society lecture note series ; _v315.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511529955
999			_c517560 _d517558