Fibrewise nullification and the cube theorem

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dc.creatorChataur, David
dc.creatorScherer, Jerome
dc.date2003-03-05
dc.date.accessioned2026-07-07T04:55:48Z
dc.date.available2026-07-07T04:55:48Z
dc.descriptionOur aim is to construct fibrewise localizations in model categories. For pointed spaces, the general idea is to decompose the total space of a fibration as a diagram over the category of simplices of the base and replace it by the localized diagram. This of course is not possible in an arbitrary category. We have thus to adapt another construction which heavily depends on Mather's cube theorem. Working with model categories in which the cube theorem holds, we characterize completely those who admit a fibrewise nullification. As an application we get fibrewise plus-construction and fibrewise Postnikov sections for algebras over an operad.
dc.identifierhttps://arxiv.org/abs/math/0303062
dc.identifierhttp://arxiv.org/abs/math/0303062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66704
dc.subjectAlgebraic Topology
dc.subjectK-Theory and Homology
dc.titleFibrewise nullification and the cube theorem
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