International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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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)
  • Received : 2012.09.18
  • Accepted : 2014.06.19
  • Published : 2014.09.25
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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.

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References

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