Geodesic
Regular and Normal Objects in the Category of Proximity Spaces
Kragujevac Journal of Mathematics, Tome 43 (2019) no. 1, p. 127 .

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In \cite{baran22} and \cite{bart3t4}, Baran defined various generalization of the separation properties $T_{3}$ and $T_{4}$ for topological spaces to arbitrary topological categories. The main objective of this paper is to characterize each of the different notions of regular and normal objects in the category of proximity spaces as well as to examine how these generalizations are related.
Classification : 54B30 54E05, 54D10, 54D15
Keywords: Topological category, proximity space, separation, regular, normal 
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Muammer Kula; Samed Özkan. Regular and Normal Objects in the Category of Proximity Spaces. Kragujevac Journal of Mathematics, Tome 43 (2019) no. 1, p. 127 . http://geodesic.mathdoc.fr/item/KJM_2019_43_1_a11/