2012/03/30 by Matija Bašić, Thomas Nikolaus, Bašić, Matija +1 · 1 citation
Mathematics · #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #math.AT #math.CT
paper · pdf · doi:10.48550/arxiv.1203.6891
27 pages, final version, accepted for publication in Journal of K-theory
arxiv created 2014/05/19 · arxiv updated 2014/05/20
Dendroidal sets have been introduced as a combinatorial model for homotopy coherent operads. We introduce the notion of fully Kan dendroidal sets and show that there is a model structure on the category of dendroidal sets with fibrant objects given by fully Kan dendroidal sets. Moreover we show that the resulting homotopy theory is equivalent to the homotopy theory of connective spectra.