Mathematics – Algebraic Topology
Scientific paper
2009-03-26
Geom. Topol. Monogr. 10 (2007) 347-382
Mathematics
Algebraic Topology
This is the version published by Geometry & Topology Monographs on 18 April 2007
Scientific paper
10.2140/gtm.2007.10.347
The author constructed a spectral sequence strongly converging to h_*(Omega^n Sigma^n X) for any homology theory in [Topology 33 (1994) 631-662]. In this note, we prove that the E^1-term of the spectral sequence is isomorphic to the cobar construction, and hence the spectral sequence is isomorphic to the classical cobar-type Eilenberg-Moore spectral sequence based on the geometric cobar construction from the E^1-term. Similar arguments can be also applied to its variants constructed in [Contemp Math 293 (2002) 299-329].
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