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 beteiligte Personen: | , |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2004
|
| Schriftenreihe: | London Mathematical Society lecture note series
315 |
| Links: | https://doi.org/10.1017/CBO9780511529955 |
| 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. |
| Umfang: | 1 Online-Ressource (236 Seiten) |
| ISBN: | 9780511529955 |
Internformat
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| indexdate | 2025-03-03T11:58:04Z |
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| spelling | Structured ring spectra edited by Andrew Baker, Birgit Richter Cambridge Cambridge University Press 2004 1 Online-Ressource (236 Seiten) txt c cr 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. Baker, Andrew 1953- Richter, Birgit 1971- Erscheint auch als Druck-Ausgabe 9780521603058 |
| spellingShingle | Structured ring spectra |
| 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 |
| work_keys_str_mv | AT bakerandrew structuredringspectra AT richterbirgit structuredringspectra |