Systems of Diagram Categories and K-theory I

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dc.creatorGarkusha, Grigory
dc.date2004-01-07
dc.date2004-05-05
dc.date.accessioned2026-07-07T05:04:25Z
dc.date.available2026-07-07T05:04:25Z
dc.descriptionTo any left system of diagram categories or to any left pointed derivateur (in the sense of Grothendieck) a K-theory space is associated. This K-theory space is shown to be canonically an infinite loop space and to have a lot of common properties with Waldhausen's K-theory. A weaker version of additivity is shown. Also, Quillen's K-theory of a large class of exact categories including the abelian categories is proved to be a retract of the K-theory of the associated derivateur.
dc.description50 pages
dc.identifierhttps://arxiv.org/abs/math/0401062
dc.identifierhttp://arxiv.org/abs/math/0401062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69794
dc.subjectK-Theory and Homology
dc.subjectCategory Theory
dc.subject19D99
dc.titleSystems of Diagram Categories and K-theory I
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