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The connective real $K\!$–theory of Brown–Gitler spectra

Paul Thomas Pearson

Algebraic & Geometric Topology 14 (2014) 597–625
Abstract

We calculate the connective real K–theory homology of the mod 2 Brown–Gitler spectra. We use this calculation and the theory of Dieudonné rings and Hopf rings to determine the mod 2 homology of the spaces in the connective Ω–spectrum for topological real K–theory.

Keywords
Hopf ring, Dieudonné ring, topological real $K\!$–theory
Mathematical Subject Classification 2010
Primary: 55T25
Secondary: 55P42
References
Publication
Received: 30 October 2011
Revised: 5 August 2013
Accepted: 27 August 2013
Published: 23 January 2014
Authors
Paul Thomas Pearson
Department of Mathematics
Hope College
Holland, MI 49422-9000
USA
http://paultpearson.wordpress.com/