3 papers
math.GN2015
Proximally well-monotone covers and -singularity
Tom Vroegrijk
In this paper we use a certain class of well-monotone covers on a quasi-uniform space to investigate whether there are quasi-uniformities that are…
math.GN2013
Bornological modifications of hyperspace topologies
Tom Vroegrijk
The bornological convergence structures that have been studied recently as generalizations of Attouch-Wets convergence define pretopologies on hyperspaces. In this paper we charact…
math.GN2009
Uniformizable and realcompact bornological universes
Tom Vroegrijk
Bornological universes were introduced some time ago by Hu and obtained renewed interest in recent articles on convergence in hyperspaces and function spaces and optimization theor…