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In [K. Kachour. D\'efinition alg\'ebrique des cellules non-strictes. Cahiersde 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-strictinfinity-functors, non-strict natural infinity-transformations, and so on, allthat with Penon's frameworks i.e with the "\'etirements cat\'egoriques", wherewe have used an extension of this object, namely the "n-\'etirementscat\'egoriques" (n belong in N). In this paper we are pursuing Batanin's workin higher dimensional categories by defining nonstrict infinity-functors,non-strict natural infinity-transformations, and so on, using Batanin'sframeworks i.e with the contractible operads, where we used an extension ofthis object, namely the globular colored contractible operads.

Operadic Definition of Non-Stricts Cells