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Structured ring spectra /

Richter, Birgit, (1971-)

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Structured ring spectra /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Structured ring spectra // edited by Andrew Baker, Birgit Richter.
other author:	Richter, Birgit,
Published:	Cambridge, UK ;Cambridge University Press, : 2004.,
Description:	236 p. ;23 cm.
[NT 15003449]:	1. 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.
Subject:	Rings (Algebra) -
ISBN:	0521603056 (pbk.) :

Structured ring spectra /
Structured ring spectra /edited by Andrew Baker, Birgit Richter. - Cambridge, UK ;Cambridge University Press,2004. - 236 p. ;23 cm. - London Mathematical Society lecture notes series ;315. - London Mathematical Society lecture note series ;359..

Includes bibliographical references and index.

1. 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.

Within 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.

ISBN: 0521603056 (pbk.) :GBP48.00

LCCN: 2004055294Subjects--Topical Terms:

540500
Rings (Algebra)

LC Class. No.: QA247 / .S84 2004

Dewey Class. No.: 512/.4

Structured ring spectra /
LDR:02491cam a2200325 a 4500 001 980833
003 OCoLC
005 20111019043053.0
008 111115s2004 enk b 001 0 eng d
010 $a 2004055294
020 $a 0521603056 (pbk.) : $c GBP48.00
020 $a 9780521603058 (pbk.)
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029 1 $a AU@ $b 000025965173
029 1 $a IG# $b 9780521603058
029 1 $a DEBBG $b BV019883719
029 1 $a NLGGC $b 329663186
035 $a (OCoLC)55887271 $z (OCoLC)57744081
035 $a AS-BW-100-08
040 $a DLC $b eng $c DLC $d YDX $d MUQ $d IXA $d BAKER $d BTCTA $d UBA $d YDXCP $d OCLCG $d IG# $d I8H $d DEBBG $d OCLCQ $d UKMGB
042 $a pcc
049 $a FISA
050 0 0 $a QA247 $b .S84 2004
082 0 0 $a 512/.4 $2 22
245 0 0 $a Structured ring spectra / $c edited by Andrew Baker, Birgit Richter.
260 # $a Cambridge, UK ; $a New York : $b Cambridge University Press, $c 2004.
300 $a 236 p. ; $c 23 cm.
490 1 $a London Mathematical Society lecture notes series ; $v 315
504 $a Includes bibliographical references and index.
505 0 # $a 1. 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 # $a Within 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 $a Rings (Algebra) $3 540500
650 # 0 $a Spectral theory (Mathematics) $3 524915
650 # 0 $a Categories (Mathematics) $3 525955
650 # 0 $a Homotopy theory. $3 604501
700 1 # $a Richter, Birgit, $d 1971- $3 1305999
700 1 # $a Baker, Andrew, $d 1953- $3 731241
830 0 $a London Mathematical Society lecture note series ; $v 359. $3 1232938