A note on algebraic categories
A unified framework for generalized multicategories.
Absolutely closed spaces and categories of algebras
Algebraic categories whose projectives are explicitly free.
Algèbres graphiques (suites : Les bidules)
Approximate maps, filter monad, and a representation of localic maps
A covariant representation of the category of locales by approximate maps (mimicking a natural representation of continuous maps between spaces in which one approximates points by small open sets) is constructed. It is shown that it can be given a Kleisli shape, as a part of a more general Kleisli representation of meet preserving maps. Also, we present the spectrum adjunction in this approximation setting.
Canonical and op-canonical lax algebras.
Categorical strong shape theory
Catégories multiéquationnelles
Coalgebras, braidings, and distributive laws.
Composites of effective descent maps
Dense morphisms of monads.
Distributive laws. Applications to stochastic automata. (Lois distributives. Applications aux automates stochastiques.)
Distributivity law for the normal triples in the category of compacta and lifting of functors to the categories of algebras
We investigate the triples in the category of compacta whose functorial parts are normal functors in the sense of E.V. Shchepin (normal triples). The problem of lifting of functors to the categories of algebras of the normal triples is considered. The distributive law for normal triples is completely described.
Doctrines whose structure forms a fully faithful adjoint string.
Elevaciones de functores.
Enveloppe karoubienne de catégories de Kleisli
Exponentiability in categories of lax algebras. (Dedicated to Nico Pumplün on the occasion of his seventieth birthday).
Exponentiability in homotopy slices of TOP and pseudo-slices of CAT.
Extensions de théories de Lawvere. Thèse de doctorat de mathématiques