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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 5

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

Gunther Jäger
Sayfa
1443–1453
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

For special choices of the quantale, the results specialize to metric spaces and probabilistic metric spaces.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:We show that quantale-valued metric spaces and quantale-valued partial metric spaces allow natural quantale-valued uniform convergence structures.
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Temel Bulgular & Veri:We furthermore characterize quantale-valued metric spaces and quantale-valued partial metric spaces by these quantale-valued uniform convergence structures.
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Sonuç & Katkı:For special choices of the quantale, the results specialize to metric spaces and probabilistic metric spaces.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$L$-metric space · $L$-partial metric space · $L$-uniform convergence tower space

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.

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Bu Makaleye Atıf Yap

Jäger, G. (2022). Quantale-valued uniform convergence towers for quantale-valued metric spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 5, 1443–1453. https://ajindex.com/articles/529793

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