2018•Hacettepe Journal of Mathematics and StatisticsRequires access
Quantale-valued uniform convergence towers for quantale-valued metric spaces
Gunther Jäger
Open publisher page 2 citations
Abstract
We show that quantale-valued metric spaces and quantale-valued partial metric spaces allow natural quantale-valued uniform convergence structures. We furthermore characterize quantale-valued metric spaces and quantale-valued partial metric spaces by these quantale-valued uniform convergence structures. For special choices of the quantale, the results specialize to metric spaces and probabilistic metric spaces.