Quantale-valued uniform convergence towers for quantale-valued metric spaces

Authors : Gunther JÄGER

Pages : 1443-1453

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Publication Date : 2019-10-08

Article Type : Research Paper

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.
Keywords : L metric space, L partial metric space, L uniform convergence tower space