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...
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2004
|
| Schriftenreihe: | London Mathematical Society lecture note series
315 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 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: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (236 pages) |
| ISBN: | 9780511529955 |
| DOI: | 10.1017/CBO9780511529955 |
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| 505 | 8 | |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 | 4 | |a Rings (Algebra) | |
| 650 | 4 | |a Spectral theory (Mathematics) | |
| 650 | 4 | |a Categories (Mathematics) | |
| 650 | 4 | |a Homotopy theory | |
| 650 | 0 | 7 | |a Idealtheorie |0 (DE-588)4161208-5 |2 gnd |9 rswk-swf |
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| 650 | 0 | 7 | |a Ring |g Mathematik |0 (DE-588)4128084-2 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a Richter, Birgit |d 1971- |4 edt | |
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Datensatz im Suchindex
| _version_ | 1804176883127943168 |
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| any_adam_object | |
| author2 | Baker, Andrew 1953- Richter, Birgit 1971- |
| author2_role | edt edt |
| author2_variant | a b ab b r br |
| author_facet | Baker, Andrew 1953- Richter, Birgit 1971- |
| building | Verbundindex |
| bvnumber | BV043941423 |
| collection | ZDB-20-CBO |
| 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 |
| ctrlnum | (ZDB-20-CBO)CR9780511529955 (OCoLC)847068814 (DE-599)BVBBV043941423 |
| dewey-full | 512/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.4 |
| dewey-search | 512/.4 |
| dewey-sort | 3512 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511529955 |
| format | Electronic eBook |
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| id | DE-604.BV043941423 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:15Z |
| institution | BVB |
| isbn | 9780511529955 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350393 |
| oclc_num | 847068814 |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (236 pages) |
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| publishDate | 2004 |
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| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series |
| spelling | Structured ring spectra edited by Andrew Baker, Birgit Richter Cambridge Cambridge University Press 2004 1 online resource (236 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 315 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 Rings (Algebra) Spectral theory (Mathematics) Categories (Mathematics) Homotopy theory Idealtheorie (DE-588)4161208-5 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Ring Mathematik (DE-588)4128084-2 gnd rswk-swf Idealtheorie (DE-588)4161208-5 s Ring Mathematik (DE-588)4128084-2 s Spektraltheorie (DE-588)4116561-5 s 1\p DE-604 Baker, Andrew 1953- edt Richter, Birgit 1971- edt Erscheint auch als Druckausgabe 978-0-521-60305-8 https://doi.org/10.1017/CBO9780511529955 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Structured ring spectra 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) Spectral theory (Mathematics) Categories (Mathematics) Homotopy theory Idealtheorie (DE-588)4161208-5 gnd Spektraltheorie (DE-588)4116561-5 gnd Ring Mathematik (DE-588)4128084-2 gnd |
| subject_GND | (DE-588)4161208-5 (DE-588)4116561-5 (DE-588)4128084-2 |
| 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) Spectral theory (Mathematics) Categories (Mathematics) Homotopy theory Idealtheorie (DE-588)4161208-5 gnd Spektraltheorie (DE-588)4116561-5 gnd Ring Mathematik (DE-588)4128084-2 gnd |
| topic_facet | Rings (Algebra) Spectral theory (Mathematics) Categories (Mathematics) Homotopy theory Idealtheorie Spektraltheorie Ring Mathematik |
| url | https://doi.org/10.1017/CBO9780511529955 |
| work_keys_str_mv | AT bakerandrew structuredringspectra AT richterbirgit structuredringspectra |