On the E^1-term of the gravity spectral sequence

dc.creatorTamaki, Dai
dc.date2009-03-26
dc.date.accessioned2026-07-07T12:57:27Z
dc.date.available2026-07-07T12:57:27Z
dc.descriptionThe 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].
dc.descriptionThis is the version published by Geometry & Topology Monographs on 18 April 2007
dc.identifierhttps://arxiv.org/abs/0903.4704
dc.identifierhttp://arxiv.org/abs/0903.4704
dc.identifierGeom. Topol. Monogr. 10 (2007) 347-382
dc.identifierdoi:10.2140/gtm.2007.10.347
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224936
dc.subjectAlgebraic Topology
dc.subject55T20, 55P48
dc.titleOn the E^1-term of the gravity spectral sequence
dc.typetext

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