The orthogonal subcategory problem in homotopy theory

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dc.creatorCasacuberta, Carles
dc.creatorChorny, Boris
dc.date2005-02-15
dc.date.accessioned2026-07-07T05:17:04Z
dc.date.available2026-07-07T05:17:04Z
dc.descriptionIt is known that the existence of localization with respect to an arbitrary (possibly proper) class of maps in the category of simplicial sets is implied by a large-cardinal axiom called Vopenka's principle.In this article we extend the validity of this result to any left proper, combinatorial, simplicial model category $\cat M$ and show that, under additional assumptions on $\cat M$, every homotopy idempotent functor is in fact a localization with respect to some set of maps. These results are valid for the homotopy category of spectra, among other applications.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0502329
dc.identifierhttp://arxiv.org/abs/math/0502329
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74216
dc.subjectAlgebraic Topology
dc.subjectCategory Theory
dc.titleThe orthogonal subcategory problem in homotopy theory
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