Structured ring spectra /:
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 s...
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| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, UK ; New York :
Cambridge University Press,
2004.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
315. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (236 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781107362635 1107362636 9780511529955 0511529953 9781107367548 1107367549 1139882368 9781139882361 1107372100 9781107372108 1107368847 9781107368842 1299405169 9781299405165 1107365082 9781107365087 |
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| contents | 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. |
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| discipline | Mathematik |
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| genre | Modul (Mathematik) swd |
| genre_facet | Modul (Mathematik) |
| id | ZDB-4-EBA-ocn836864175 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:16Z |
| institution | BVB |
| isbn | 9781107362635 1107362636 9780511529955 0511529953 9781107367548 1107367549 1139882368 9781139882361 1107372100 9781107372108 1107368847 9781107368842 1299405169 9781299405165 1107365082 9781107365087 |
| language | English |
| oclc_num | 836864175 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (236 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture notes series ; |
| spelling | Structured ring spectra / edited by Andrew Baker, Birgit Richter. Cambridge, UK ; New York : Cambridge University Press, 2004. 1 online resource (236 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture notes series ; 315 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. Print version record. English. Rings (Algebra) http://id.loc.gov/authorities/subjects/sh85114140 Spectral theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85126408 Categories (Mathematics) http://id.loc.gov/authorities/subjects/sh85020992 Homotopy theory. http://id.loc.gov/authorities/subjects/sh85061803 Anneaux (Algèbre) Spectre (Mathématiques) Catégories (Mathématiques) Homotopie. MATHEMATICS Algebra Intermediate. bisacsh Categories (Mathematics) fast Homotopy theory fast Rings (Algebra) fast Spectral theory (Mathematics) fast Idealtheorie gnd http://d-nb.info/gnd/4161208-5 Ring Mathematik gnd http://d-nb.info/gnd/4128084-2 Spektraltheorie gnd http://d-nb.info/gnd/4116561-5 Álgebra homológica (congressos) larpcal Álgebra abstrata (congressos) larpcal Modul (Mathematik) swd Baker, Andrew, 1953- https://id.oclc.org/worldcat/entity/E39PCjJpdgMpQbP7HxCVJTTT73 http://id.loc.gov/authorities/names/n2001011986 Richter, Birgit, 1971- https://id.oclc.org/worldcat/entity/E39PBJfcPYQQpBfCvMQ37KcwYP http://id.loc.gov/authorities/names/no2002002453 Print version: Structured ring spectra. Cambridge, UK ; New York : Cambridge University Press, 2004 0521603056 (DLC) 2004055294 (OCoLC)55887271 London Mathematical Society lecture note series ; 315. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552355 Volltext |
| spellingShingle | Structured ring spectra / London Mathematical Society lecture note series ; 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. Rings (Algebra) http://id.loc.gov/authorities/subjects/sh85114140 Spectral theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85126408 Categories (Mathematics) http://id.loc.gov/authorities/subjects/sh85020992 Homotopy theory. http://id.loc.gov/authorities/subjects/sh85061803 Anneaux (Algèbre) Spectre (Mathématiques) Catégories (Mathématiques) Homotopie. MATHEMATICS Algebra Intermediate. bisacsh Categories (Mathematics) fast Homotopy theory fast Rings (Algebra) fast Spectral theory (Mathematics) fast Idealtheorie gnd http://d-nb.info/gnd/4161208-5 Ring Mathematik gnd http://d-nb.info/gnd/4128084-2 Spektraltheorie gnd http://d-nb.info/gnd/4116561-5 Álgebra homológica (congressos) larpcal Álgebra abstrata (congressos) larpcal |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85114140 http://id.loc.gov/authorities/subjects/sh85126408 http://id.loc.gov/authorities/subjects/sh85020992 http://id.loc.gov/authorities/subjects/sh85061803 http://d-nb.info/gnd/4161208-5 http://d-nb.info/gnd/4128084-2 http://d-nb.info/gnd/4116561-5 |
| title | Structured ring spectra / |
| title_auth | Structured ring spectra / |
| title_exact_search | Structured ring spectra / |
| title_full | Structured ring spectra / edited by Andrew Baker, Birgit Richter. |
| title_fullStr | Structured ring spectra / edited by Andrew Baker, Birgit Richter. |
| title_full_unstemmed | Structured ring spectra / edited by Andrew Baker, Birgit Richter. |
| title_short | Structured ring spectra / |
| title_sort | structured ring spectra |
| topic | Rings (Algebra) http://id.loc.gov/authorities/subjects/sh85114140 Spectral theory (Mathematics) http://id.loc.gov/authorities/subjects/sh85126408 Categories (Mathematics) http://id.loc.gov/authorities/subjects/sh85020992 Homotopy theory. http://id.loc.gov/authorities/subjects/sh85061803 Anneaux (Algèbre) Spectre (Mathématiques) Catégories (Mathématiques) Homotopie. MATHEMATICS Algebra Intermediate. bisacsh Categories (Mathematics) fast Homotopy theory fast Rings (Algebra) fast Spectral theory (Mathematics) fast Idealtheorie gnd http://d-nb.info/gnd/4161208-5 Ring Mathematik gnd http://d-nb.info/gnd/4128084-2 Spektraltheorie gnd http://d-nb.info/gnd/4116561-5 Álgebra homológica (congressos) larpcal Álgebra abstrata (congressos) larpcal |
| topic_facet | Rings (Algebra) Spectral theory (Mathematics) Categories (Mathematics) Homotopy theory. Anneaux (Algèbre) Spectre (Mathématiques) Catégories (Mathématiques) Homotopie. MATHEMATICS Algebra Intermediate. Homotopy theory Idealtheorie Ring Mathematik Spektraltheorie Álgebra homológica (congressos) Álgebra abstrata (congressos) Modul (Mathematik) |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552355 |
| work_keys_str_mv | AT bakerandrew structuredringspectra AT richterbirgit structuredringspectra |