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http://dx.doi.org/10.5391/JKIIS.2013.23.1.80

Closures and Interiors Redefined, and Some Types of Compactness in Ordinary Smooth Topological Spaces  

Lee, Jeong Gon (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
Lim, Pyung Ki (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
Hur, Kul (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.23, no.1, 2013 , pp. 80-86 More about this Journal
Abstract
We give a new definition of ordinary smooth closure and ordinary smooth interior of an ordinary subset in an ordinary smooth topological space which have almost all the properties of the corresponding operators in a classical topological space. As a consequence of these definitions we reduce the additional hypotheses in the results of [1] and also generalize several properties of the types of compactness in [1].
Keywords
Ordinary Smooth Topological Space; Ordinary Smooth Closure [resp. Interior]; Ordinary Smooth [resp. Almost and Near] Compacteness;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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