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  3. Structured Ring Spectra
  • Cited by 2
Publisher:
Cambridge University Press
Online publication date:
October 2009
Print publication year:
2004
Online ISBN:
9780511529955
DOI:
https://doi.org/10.1017/CBO9780511529955
Subjects:
Mathematics (general), Mathematics, Real and Complex Analysis, Algebra
Series:
London Mathematical Society Lecture Note Series (315)
Information

Book description

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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