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

Yıl 2019, Cilt: 48 Sayı: 5, 1443 - 1453, 08.10.2019

Gunther Jäger

Öz

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.

Anahtar Kelimeler

$L$-metric space, $L$-partial metric space, $L$-uniform convergence tower space

Kaynakça

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