There are various generalization of the usual topological T3 and T4- axioms to topological categories
defined in [2] and [8]. [8] is shown that they lead to different T3 and T4 concepts, in general. In this
paper, an explicit characterizations of each of the separation properties T3 and T4 at a point p and the
generalized separation properties 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 at p and the
generalized separation properties are examined in this category. Finally, we investigate the relationships
between the generalized separation properties and the separation properties at a point p in this category.
Birincil Dil | İngilizce |
---|---|
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 15 Nisan 2016 |
Gönderilme Tarihi | 17 Ocak 2016 |
Yayımlandığı Sayı | Yıl 2016 Cilt: 4 Sayı: 1 |
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