  This thesis is devoted to the proof of a theorem showing the existence of a
closed model category structure for weakly enriched categories. It requires
first of all the definitions of weakly enriched categories and equivalences of
weakly enriched categories such that these definitions recover some existing
notions of higher order weak categories, for example Segal categories,
Tamsamani n-categories and strict n-categories. In order to prove our theorem,
we elaborate a theory of plans for cell addition following the approach of the
small object argument a la Quillen. We conclude this work with the proof that
our theorem recovers the case of Segal categories. This last result requires a
fundamental groupoid-geometric realization adjunction between Segal groupoids
and topological spaces.
