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Pre-Hausdorff and Hausdorff proximity spaces

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2017 Turkey Publisher:National Library of SerbiaJournal:Filomat, volume 31, pages 3,837-3,846 (issn: 0354-5180, eissn: 2406-0933,

Authors: Kula, Muammer; Ozkan, Samed; Marasli, Tugba;

doi: 10.2298/fil1712837k

Pre-Hausdorff and Hausdorff proximity spaces

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Abstract

In this paper, an explicit characterization of the separation properties for T0, T1, PreT2 (pre-Hausdorff) and T2 (Hausdorff) is given in the topological category of proximity spaces. Moreover, specific relationships that arise among the various Ti,i = 0,1,2 and PreT2 structures are examined in this category. Finally, we investigate the relationships among generalized separation properties for Ti,i = 0,1,2 and PreT2 (in our sense), separation properties at a point p and separation properties for Ti, i = 0,1,2 in the usual sense in this category.

Country

Turkey

Related Organizations

Erciyes University
Turkey

4 Research products, page 1 of 1

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