Operadic Definition of Non-Stricts Cells

Details Operadic Definition of Non-Stricts Cells Operadic Definition of Non-Stricts Cells

2010-07-07

arxiv.org/abs/1007.1077v1

Mathematics

Category Theory

68 pages

Scientific paper

In [K. Kachour. D\'efinition alg\'ebrique des cellules non-strictes. Cahiers de Topologie et de G\'eom\'etrie Diff\'erentielle Cat\'egorique, 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 "\'etirements cat\'egoriques", where we have used an extension of this object, namely the "n-\'etirements cat\'egoriques" (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.

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