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:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2004
|
| Schriftenreihe: | London Mathematical Society lecture note series
315 |
| Schlagworte: | |
| 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: | 236 S. |
| ISBN: | 0521603056 |
Internformat
MARC
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| 520 | 3 | |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. | |
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Datensatz im Suchindex
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| dewey-tens | 510 - Mathematics |
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| genre | Modul <Mathematik> gnd |
| genre_facet | Modul <Mathematik> |
| id | DE-604.BV019883719 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T20:08:20Z |
| institution | BVB |
| isbn | 0521603056 |
| language | English |
| lccn | 2004055294 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013207822 |
| oclc_num | 55887271 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-824 |
| owner_facet | DE-91G DE-BY-TUM DE-824 |
| physical | 236 S. |
| 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 note series |
| spelling | Structured ring spectra edited by Andrew Baker ... Cambridge Cambridge University Press 2004 236 S. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society lecture note series 315 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. Anneaux (Algèbre) Catégories (Mathématiques) Homotopie Spectre (Mathématiques) Álgebra abstrata (congressos) larpcal Álgebra homológica (congressos) larpcal Rings (Algebra) Spectral theory (Mathematics) Categories (Mathematics) Homotopy theory Idealtheorie (DE-588)4161208-5 gnd rswk-swf Ring Mathematik (DE-588)4128084-2 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Modul <Mathematik> gnd rswk-swf Idealtheorie (DE-588)4161208-5 s Ring Mathematik (DE-588)4128084-2 s Modul <Mathematik> f Spektraltheorie (DE-588)4116561-5 s DE-604 Baker, Andrew Sonstige oth London Mathematical Society lecture note series 315 (DE-604)BV000000130 315 |
| spellingShingle | Structured ring spectra London Mathematical Society lecture note series Anneaux (Algèbre) Catégories (Mathématiques) Homotopie Spectre (Mathématiques) Álgebra abstrata (congressos) larpcal Álgebra homológica (congressos) larpcal Rings (Algebra) Spectral theory (Mathematics) Categories (Mathematics) Homotopy theory Idealtheorie (DE-588)4161208-5 gnd Ring Mathematik (DE-588)4128084-2 gnd Spektraltheorie (DE-588)4116561-5 gnd |
| subject_GND | (DE-588)4161208-5 (DE-588)4128084-2 (DE-588)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 ... |
| title_fullStr | Structured ring spectra edited by Andrew Baker ... |
| title_full_unstemmed | Structured ring spectra edited by Andrew Baker ... |
| title_short | Structured ring spectra |
| title_sort | structured ring spectra |
| topic | Anneaux (Algèbre) Catégories (Mathématiques) Homotopie Spectre (Mathématiques) Álgebra abstrata (congressos) larpcal Álgebra homológica (congressos) larpcal Rings (Algebra) Spectral theory (Mathematics) Categories (Mathematics) Homotopy theory Idealtheorie (DE-588)4161208-5 gnd Ring Mathematik (DE-588)4128084-2 gnd Spektraltheorie (DE-588)4116561-5 gnd |
| topic_facet | Anneaux (Algèbre) Catégories (Mathématiques) Homotopie Spectre (Mathématiques) Álgebra abstrata (congressos) Álgebra homológica (congressos) Rings (Algebra) Spectral theory (Mathematics) Categories (Mathematics) Homotopy theory Idealtheorie Ring Mathematik Spektraltheorie Modul <Mathematik> |
| volume_link | (DE-604)BV000000130 |
| work_keys_str_mv | AT bakerandrew structuredringspectra |