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- W1977067430 abstract "The notion of geometric nerve of a 2-category (Street, J. Pure Appl. Algebra 49 (1987), 283–335) 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." @default.
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- W1977067430 date "2005-06-01" @default.
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- W1977067430 title "A Full and Faithful Nerve for 2-Categories" @default.
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- W1977067430 doi "https://doi.org/10.1007/s10485-005-2957-6" @default.
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