A remark on K-theory and S-categories

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dc.creatorToen, Bertrand
dc.creatorVezzosi, Gabriele
dc.date2002-10-08
dc.date2003-10-02
dc.date.accessioned2026-07-07T04:51:45Z
dc.date.available2026-07-07T04:51:45Z
dc.descriptionIt is now well known that the K-theory of a Waldhausen category depends on more than just its (triangulated) homotopy category (see [Schlichting]). The purpose of this note is to show that the K-theory spectrum of a (good) Waldhausen category is completely determined by its Dwyer-Kan simplicial localization, without any additional structure. As the simplicial localization is a refined version of the homotopy category which also determines the triangulated structure, our result is a possible answer to the general question: ``To which extent $K$-theory is not an invariant of triangulated derived categories ?''
dc.description23 pages; final version, accepted for publication in 'Topology'
dc.identifierhttps://arxiv.org/abs/math/0210125
dc.identifierhttp://arxiv.org/abs/math/0210125
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65220
dc.subjectK-Theory and Homology
dc.subjectAlgebraic Geometry
dc.subjectAlgebraic Topology
dc.subjectCategory Theory
dc.titleA remark on K-theory and S-categories
dc.typetext

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