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2008 Topological nonrealization results via the Goodwillie tower approach to iterated loopspace homology
Nicholas Kuhn
Algebr. Geom. Topol. 8(4): 2109-2129 (2008). DOI: 10.2140/agt.2008.8.2109

Abstract

We prove a strengthened version of a theorem of Lionel Schwartz [Invent. Math. 134 (1998) 211–227] that says that certain modules over the Steenrod algebra cannot be the mod 2 cohomology of a space. What is most interesting is our method, which replaces his iterated use of the Eilenberg–Moore spectral sequence by a single use of the spectral sequence converging to H(ΩnX;2) obtained from the Goodwillie tower for ΣΩnX. Much of the paper develops basic properties of this spectral sequence.

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Nicholas Kuhn. "Topological nonrealization results via the Goodwillie tower approach to iterated loopspace homology." Algebr. Geom. Topol. 8 (4) 2109 - 2129, 2008. https://doi.org/10.2140/agt.2008.8.2109

Information

Received: 8 July 2008; Revised: 10 October 2008; Accepted: 13 October 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1169.55011
MathSciNet: MR2460881
Digital Object Identifier: 10.2140/agt.2008.8.2109

Subjects:
Primary: 55S10
Secondary: 55S12, 55T20

Rights: Copyright © 2008 Mathematical Sciences Publishers

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