Open Access
2006 Subrings of singular cohomology associated to spectra
Geoffrey M L Powell
Algebr. Geom. Topol. 6(3): 1037-1067 (2006). DOI: 10.2140/agt.2006.6.1037

Abstract

This paper extends the relation established for group cohomology by Green, Hunton and Schuster between chromatic phenomena in stable homotopy theory and certain natural subrings of singular cohomology. This exploits the theory due to Henn, Lannes and Schwartz of unstable algebras over the Steenrod algebra localized away from nilpotents.

Citation

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Geoffrey M L Powell. "Subrings of singular cohomology associated to spectra." Algebr. Geom. Topol. 6 (3) 1037 - 1067, 2006. https://doi.org/10.2140/agt.2006.6.1037

Information

Received: 7 July 2005; Accepted: 24 May 2006; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1128.55004
MathSciNet: MR2253440
Digital Object Identifier: 10.2140/agt.2006.6.1037

Subjects:
Primary: 55N20 , 55S10
Secondary: 18F20

Keywords: Borel cohomology , chromatic filtration , functor category , Steenrod algebra , unstable module

Rights: Copyright © 2006 Mathematical Sciences Publishers

Vol.6 • No. 3 • 2006
MSP
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