A right adjoint functor is said to be of descent type if the counit of the adjunction is pointwise
a coequalizer. Building on the results of Tholen's doctoral thesis, we give necessary and …

A survey of totality for enriched and ordinary categories Page 1 CAHIERS DE TOPOLOGIE
ET GÉOMÉTRIE DIFFÉRENTIELLE CATÉGORIQUES GM KELLY A survey of totality for …

This paper is basically concerned with two problems. The first is the problem of lifting a
monad m on a category X through a functor t: A+ X to obtain a monad n on A; the guiding …

A comprehensive study of generators in terms of epic families as well as of their induced
(generalized) hom-functors is given, with special emphasis on the subtle differences …

An adjoint-triangle theorem contemplates functors P: C→ A and T: A→ B where T and TP
have left adjoints, and gives sufficient conditions for P also to have a left adjoint. We are …

In an attempt to understand and hopefully to discover such equivalences the author
introduced the concept of an X-functor (for a particular space X in Top,) motivated by the …

This survey contains results reviewed in the review journal Matematika from Nov. 1967 to
Mar. 1974. In a previous survey, the authors remarked that in over five years the number of …

Abb. 1 mit P1 und gegebenenfalls Po auch G einen Linksadjungierten besitzt. Neben dem
theoretischen Interesse, das aus der Sicht des Kategorikers diesem Problem zukommt, ist es …