  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.
