T3 AND T4-objects in the topological category of cauchy spaces | Zendy

KULA Muammer | Zendy

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T3 AND T4-objects in the topological category of cauchy spaces

Author(s) -

KULA Muammer

Publication year - 2017

Publication title -

communications faculty of science university of ankara series a1mathematics and statistics

Language(s) - English

Resource type - Journals

ISSN - 1303-5991

DOI - 10.1501/commua1_0000000772

Subject(s) - cauchy distribution , mathematics , category of topological spaces , topological space , pure mathematics , topology (electrical circuits) , mathematical analysis , topological tensor product , combinatorics , functional analysis , biochemistry , chemistry , gene

There are various generalization of the usual topological T3 and T4 axioms to topological categories defined in [2] and [7]. [7] is shown that they lead to different T3 and T4 concepts, in general. In this paper, an explicit characterization of each of the separation properties T3 and T4 is given in the topological category of Cauchy spaces. Moreover, specific relationships that arise among the various Ti, i = 0, 1, 2, 3, 4, PreT2, and T2 structures are examined in this category.

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