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.