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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2022 / Cilt: 71 - Sayı: 4

Local $T_0$ and $T_1$ quantale-valued preordered spaces

Samed ÖZKAN, Mesut GÜNEŞ

Sayfa
907–918
DOI
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Abstract

In this paper, we characterize explicitly the separation properties $T_0$ and $T_1$ at a point p in the topological category of quantale-valued preordered spaces and investigate how these characterizations are related. Moreover, we prove that local $T_0$ and $T_1$ quantale-valued preordered spaces are hereditary and productive.