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.
Powell, Geoffrey M L  1
@article{10_2140_agt_2006_6_1037,
author = {Powell, Geoffrey M L},
title = {Subrings of singular cohomology associated to spectra},
journal = {Algebraic and Geometric Topology},
pages = {1037--1067},
year = {2006},
volume = {6},
number = {3},
doi = {10.2140/agt.2006.6.1037},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2006.6.1037/}
}
TY - JOUR AU - Powell, Geoffrey M L TI - Subrings of singular cohomology associated to spectra JO - Algebraic and Geometric Topology PY - 2006 SP - 1037 EP - 1067 VL - 6 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2006.6.1037/ DO - 10.2140/agt.2006.6.1037 ID - 10_2140_agt_2006_6_1037 ER -
Powell, Geoffrey M L. Subrings of singular cohomology associated to spectra. Algebraic and Geometric Topology, Tome 6 (2006) no. 3, pp. 1037-1067. doi: 10.2140/agt.2006.6.1037
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