A Model Structure for Enriched Coloured Operads

2014/01/27 by Giovanni Caviglia, Caviglia, Giovanni
Mathematics · #55U35 #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #math.AT #math.CT #msc:55U35

paper · pdf · doi:10.48550/arxiv.1401.6983

44 pages, Preliminary version, comments are welcome

arxiv created 2014/01/27 · arxiv updated 2014/01/28

Abstract

We prove that, under certain conditions, the model structure on a monoidal model category V can be transferred to a model structure on the category of V-enriched coloured (symmetric) operads. As a particular case we recover the known model structure on simplicial operads.

Related

• The Dwyer-Kan model structure for enriched coloured PROPs
• Homotopy theory of simplicial parametrized operads
• A folk Quillen model structure for operads
• Model structure on operads in orthogonal spectra
• Model structures on operads and algebras from a global perspective