12 citations · 60 across the 29 of their papers we have counts for
4 papers · 1 filter
Exponentiable approach spaces
Dirk Hofmann, Gavin J. Seal
In this note we present a characterisation of exponentiable approach spaces in terms of ultrafilter convergence.
Probabilistic Metric Spaces as enriched categories
Dirk Hofmann, Carla David Reis
In this paper we investigate Cauchy completeness and exponentiablity for quantale enriched categories, paying particular attention to probabilistic metric spaces.
Approaching metric domains
Gonçalo Gutierres, Dirk Hofmann
In analogy to the situation for continuous lattices which were introduced by Dana Scott as precisely the injective T spaces via the (nowadays called) Scott topology, we study t…
A four for the price of one duality principle for distributive spaces
Dirk Hofmann
In this paper we consider topological spaces as generalised orders and characterise those spaces which satisfy a (suitably defined) topological distributive law. Furthermore, we sh…