Structured Ring Spectra / Edited by Andrew Baker, Birgit Richter.
Material type:
TextSeries: London Mathematical Society Lecture Note Series ; no. 315Publisher: Cambridge : Cambridge University Press, 2004Description: 1 online resource (240 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511529955 (ebook)Subject(s): Rings (Algebra) | Spectral theory (Mathematics) | Categories (Mathematics) | Homotopy theoryAdditional physical formats: Print version: : No titleDDC classification: 512/.4 LOC classification: QA247 | .S84 2004Online resources: Click here to access online Summary: 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.
E-BOOKS
| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK12159 |
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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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