Algebraic & Geometric Topology

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

Paul Thomas Pearson

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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.

Article information

Algebr. Geom. Topol., Volume 14, Number 1 (2014), 597-625.

Received: 30 October 2011
Revised: 5 August 2013
Accepted: 27 August 2013
First available in Project Euclid: 19 December 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 55T25: Generalized cohomology
Secondary: 55P42: Stable homotopy theory, spectra

Hopf ring Dieudonné ring topological real $K$–theory


Pearson, Paul Thomas. The connective real $K$–theory of Brown–Gitler spectra. Algebr. Geom. Topol. 14 (2014), no. 1, 597--625. doi:10.2140/agt.2014.14.597.

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