Structured Ring Spectra

Baker, A. and Richter, B. (Eds.) (2004) Structured Ring Spectra. Series: London Mathematical Society Lecture Note Series. Cambridge University Press: Cambridge, UK. ISBN 9780521603058

Abstract

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.

• Item Type: Edited Books
• Status: Published
• Glasgow Author(s) Enlighten ID: Baker, Dr Andrew
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Publisher: Cambridge University Press
• ISBN: 9780521603058