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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