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

Year 2022, Volume: 71 Issue: 4, 907 - 918, 30.12.2022

Samed Özkan , Mesut Güneş

https://doi.org/10.31801/cfsuasmas.1070240

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.

Keywords

Topological category, quantale-valued preorder, local $T_0$ objects, local $T_1$ objects

Project Number

TEZ21F1

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