Subrings of singular cohomology associated to spectra
Geoffrey M L Powell
TL;DR
This paper explores the connection between chromatic phenomena in stable homotopy theory and specific subrings of singular cohomology, extending previous work on group cohomology.
Contribution
It generalizes the relation between chromatic phenomena and cohomology subrings to broader contexts using unstable algebra theory.
Findings
Established new links between stable homotopy theory and cohomology subrings.
Extended previous results from group cohomology to more general spectra.
Utilized advanced algebraic tools to analyze cohomology structures.
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.
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