A Note on Closedness and Connectedness in the Category of Proximity Spaces

被引：14

作者：

Kula, Muammer ^{[1
]}

Marasli, Tugba ^{[1
]}

Ozkan, Samed ^{[1
]}

机构：

[1] Erciyes Univ, Dept Math, Kayseri, Turkey

来源：

FILOMAT | 2014年 / 28卷 / 07期

关键词：

topological category; proximity space; separation; closedness; connectedness; CLOSURE OPERATORS; TOPOLOGICAL-CATEGORIES; SEPARATION PROPERTIES; CONVERGENCE SPACES; COMPACTNESS; OBJECTS;

D O I：

10.2298/FIL1407483K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an explicit characterization of the separation properties T-0 and T-1 at a point p is given in the topological category of proximity spaces. Furthermore, the (strongly) closed and (strongly) open subobjects of an object are characterized in the category of proximity spaces and also the characterization of each of the various notions of the connected objects in this category are given.

引用

页码：1483 / 1492

页数：10

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