2015/10/05 by Giovanni Caviglia, Caviglia, Giovanni
Mathematics · #18D10 #18D50 #55U35 #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #math.AT #math.CT #msc:18D10 #msc:18D50 #msc:55U35
paper · pdf · doi:10.48550/arxiv.1510.01289
64 pages. Comments are welcome
arxiv created 2015/10/05 · arxiv updated 2015/10/06
Coloured PROPs are a generalisation of coloured operads. In this article, we prove the existence of a Dwyer-Kan model structure on the category of small coloured PROPs enriched in a (sufficiently nice) monoidal model category V. This model structure extends the known Dwyer-Kan model structures on the categories of (small) V-enriched categories and V-enriched coloured operads.