## Algebraic & Geometric Topology

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

Paul Thomas Pearson

#### 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.

#### Article information

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

Dates
Revised: 5 August 2013
Accepted: 27 August 2013
First available in Project Euclid: 19 December 2017

https://projecteuclid.org/euclid.agt/1513715812

Digital Object Identifier
doi:10.2140/agt.2014.14.597

Mathematical Reviews number (MathSciNet)
MR3158769

Zentralblatt MATH identifier
1284.55008

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

#### Citation

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. https://projecteuclid.org/euclid.agt/1513715812

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