Algebraic & Geometric Topology Volume 6, issue 4 (2006)

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Postnikov extensions of ring spectra

Daniel Dugger and Brooke Shipley

Algebraic & Geometric Topology 6 (2006) 1785–1829

DOI: 10.2140/agt.2006.6.1785

arXiv: math.AT/0604260

Abstract

We give a functorial construction of $k$ –invariants for ring spectra and use these to classify extensions in the Postnikov tower of a ring spectrum.

Keywords

ring spectrum, k-invariant, Postnikov extension

Mathematical Subject Classification 2000

Primary: 55P43

Secondary: 55S45

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Publication

Received: 26 July 2006

Accepted: 22 August 2006

Published: 1 November 2006

Authors

Daniel Dugger
Department of Mathematics University of Oregon Eugene, OR 97403 USA

Brooke Shipley
Department of Mathematics University of Illinois at Chicago Chicago, IL 60607 USA