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http://dx.doi.org/10.5391/IJFIS.2014.14.3.231

Closure, Interior and Compactness in Ordinary Smooth Topological Spaces  

Lee, Jeong Gon (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)
Lim, Pyung Ki (Division of Mathematics and Informational Statistics and Nanoscale Science and Technology Institute, Wonkwang University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.14, no.3, 2014 , pp. 231-239 More about this Journal
Abstract
It presents the concepts of ordinary smooth interior and ordinary smooth closure of an ordinary subset and their structural properties. It also introduces the notion of ordinary smooth (open) preserving mapping and addresses some their properties. In addition, it develops the notions of ordinary smooth compactness, ordinary smooth almost compactness, and ordinary near compactness and discusses them in the general framework of ordinary smooth topological spaces.
Keywords
Ordinary smooth topological space; Ordinary smooth closure (resp. interior); Ordinary smooth continuity; Ordinary smooth preserving; Ordinary smooth (resp. almost and near) compactness;
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Times Cited By KSCI : 2  (Citation Analysis)
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