12 citations · 32 across the 5 of their papers we have counts for
5 papers
The category of probabilistic metric spaces
Eva Colebunders, Robert Lowen
The paper is devoted to a categorical study of the category of probabilistic metric spaces. The study is based on an isomorphic description of the category of probabilistic metric…
A characterisation of probabilistic metrizability for approach spaces
Eva Colebunders, Robert Lowen
Characterisations of metrizable topological spaces or metrizable uniform spaces are well known. A natural counterpart to being metrizable for topological spaces can be expressed in…
Normality in terms of distances and contractions
E. Colebunders, M. Sioen, W. Van Den Haute
The main purpose of this paper is to explore normality in terms of distances between points and sets. We prove some important consequences on realvalued contractions, i.e. function…
Function spaces and contractive extensions in Approach Theory: The role of regularity
Eva Colebunders, Frédéric Mynard, Will Trott
Two classical results characterizing regularity of a convergence space in terms of continuous extensions of maps on one hand, and in terms of continuity of limits for the continuou…
State property systems and closure spaces: a study of categorical equivalence
Diederik Aerts, Eva Colebunders, Ann Van der Voorde +1
We show that the natural mathematical structure to describe a physical entity by means of its states and its properties within the Geneva-Brussels approach is that of a state prope…