A Full and faithful Nerve for 2-categories

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dc.creatorBullejos, M.
dc.creatorFaro, E.
dc.creatorBlanco, V.
dc.date2004-06-30
dc.date2004-09-24
dc.date.accessioned2026-07-07T05:09:50Z
dc.date.available2026-07-07T05:09:50Z
dc.descriptionThe notion of geometric nerve of a 2-category (Street, \cite{refstreet}) provides a full and faithful functor if regarded as defined on the category of 2-categories and lax 2-functors. Furthermore, lax 2-natural transformations between lax 2-functors give rise to homotopies between the corresponding simplicial maps. These facts allow us to prove a representation theorem of the general non abelian cohomology of groupoids (classifying non abelian extensions of groupoids) by means of homotopy classes of simplicial maps.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0406615
dc.identifierhttp://arxiv.org/abs/math/0406615
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71731
dc.subjectCategory Theory
dc.subject18D05; 55U10
dc.titleA Full and faithful Nerve for 2-categories
dc.typetext

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