12 citations · 60 across the 29 of their papers we have counts for
4 papers · 2 filters
A Duality of Quantale-Enriched Categories
Dirk Hofmann, Pawel Waszkiewicz
We describe a duality for quantale-enriched categories that extends the Lawson duality for continuous dcpos: for any saturated class J of modules that commute with certain weighted…
Duality for distributive space
Dirk Hofmann
The main source of inspiration for the present paper is the work of R. Rosebrugh and R.J. Wood on constructive complete distributive lattices where the authors employ elegantly the…
Approximation in quantale-enriched categories
Dirk Hofmann, Pawel Waszkiewicz
Our work is a fundamental study of the notion of approximation in V-categories and in (U,V)-categories, for a quantale V and the ultrafilter monad U. We introduce auxiliary, approx…
Stone duality for topological theories
Dirk Hofmann, Isar Stubbe
In the context of categorical topology, more precisely that of T-categories [Hofmann, 2007], we define the notion of T-colimit as a particular colimit in a V-category. A complete a…