Skip to content
Register Sign in Wishlist
Structured Ring Spectra

Structured Ring Spectra

Part of London Mathematical Society Lecture Note Series

Andrew Baker, Birgit Richter, Andrey Lazarev, Stefan Schwede, Michael Joachim, Anthony Elmendorf, Michael Mandell, Paul Goerss, Michael Hopkins, Alan Robinson, Maria Basterra
View all contributors
  • Date Published: November 2004
  • availability: Available
  • format: Paperback
  • isbn: 9780521603058

Paperback

Add to wishlist

Other available formats:
eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • 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.

    • Provides overview papers on up to date topics in structured ring spectra
    • Describes recently developed obstruction theories for multiplicative structures on ring spectra
    • First book to collect recent results in the field and to compare the different approaches
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: November 2004
    • format: Paperback
    • isbn: 9780521603058
    • length: 240 pages
    • dimensions: 228 x 152 x 15 mm
    • weight: 0.342kg
    • availability: Available
  • Table of Contents

    1. The development of structured ring spectra Anthony Elmendorf
    2. Compromises forced by Lewis's Theorem Anthony Elmendorf
    3. Permutative categories as a model of connective stable homotopy Anthony Elmendorf and Michael Mandell
    4. Morita Theory in Abelian, derived and stable model categories Stefan Schwede
    5. Higher coherences in equivariant K-theory Michael Joachim
    6. Co-homology theories for commutative S-algebras Maria Basterra and Birgit Richter
    7. Classical obstructions and S-algebras Alan Robinson
    8. Moduli spaces of commutative ring spectra Paul Goerss and Michael Hopkins
    9. Cohomology theories for highly structured ring spectra Andrey Lazarev.

  • Editors

    Andrew Baker, University of Glasgow
    Andew Baker is Reader in Mathematics at University of Glasgow. He is the author of the textbook Matrix Groups: An Introduction to Lie Group Theory, as well as numerous publications on algebraic topology, algebra and number theory in a wide range of journals and conference proceedings. He is also an editor for Glasgow Mathematical Journal and Homology and Homotopy and Applications.

    Birgit Richter, Rheinische Friedrich-Wilhelms-Universität Bonn
    Birgit Richter is wissenschaftlich Assistentin at Universität Bonn in Germany. He has published articles in several mathematical journals such as Mathematische Annalen,Topology, Annales de l'Institut Fourier, Journal of Pure and Applied Algebra, K-theory and Mathematical Proceedings of the Cambridge Philosophical Society.

    Contributors

    Andrew Baker, Birgit Richter, Andrey Lazarev, Stefan Schwede, Michael Joachim, Anthony Elmendorf, Michael Mandell, Paul Goerss, Michael Hopkins, Alan Robinson, Maria Basterra

Related Books

also by this author

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon
×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×