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

Authors : Samed ÖZKAN, Mesut GÜNEŞ

Pages : 907-918

Doi:10.31801/cfsuasmas.1070240

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Publication Date : 2022-12-30

Article Type : Research Paper

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