Algebraic & Geometric Topology 8 (2008) 2109–2129

DOI: 10.2140/agt.2008.8.2109

Erratum: Algebraic & Geometric Topology 10 (2010) 531–533

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; Z ∕ 2) obtained from the Goodwillie tower for Σ^∞ΩⁿX. Much of the paper develops basic properties of this spectral sequence.

Keywords

loopspace homology, Goodwillie towers

Mathematical Subject Classification

Primary: 55S10

Secondary: 55S12, 55T20

References

Publication

Received: 8 July 2008
Revised: 10 October 2008
Accepted: 13 October 2008
Published: 19 November 2008

Authors