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  3. Structured Ring Spectra
  • Cited by 2
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    • Publisher:
      Cambridge University Press
      Publication date:
      23 October 2009
      18 November 2004
      ISBN:
      9780511529955
      9780521603058
      DOI:
      https://doi.org/10.1017/CBO9780511529955
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.342kg, 240 Pages
      • Subjects:
      Mathematics (general), Mathematics, Real and Complex Analysis, Algebra
      Series:
      London Mathematical Society Lecture Note Series (315)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Real and Complex Analysis, Algebra
    Series:
    London Mathematical Society Lecture Note Series (315)
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    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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