2010/07/07 by Camell Kachour, Kachour, Camell · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #math.CT #msc:18A99 #msc:18D50 #msc:55P48
paper · pdf · doi:10.48550/arxiv.1007.1077
68 pages
arxiv created 2010/07/07 · arxiv updated 2010/07/08
In [K. Kachour. Définition algébrique des cellules non-strictes. Cahiers de Topologie et de Géométrie Différentielle Catégorique, 1:1-68, 2008] we pursue Penon's work in higher dimensional categories by defining non-strict infinity-functors, non-strict natural infinity-transformations, and so on, all that with Penon's frameworks i.e with the "étirements catégoriques", where we have used an extension of this object, namely the "n-étirements catégoriques" (n belong in N). In this paper we are pursuing Batanin's work in higher dimensional categories by defining nonstrict infinity-functors, non-strict natural infinity-transformations, and so on, using Batanin's frameworks i.e with the contractible operads, where we used an extension of this object, namely the globular colored contractible operads.