International Journal of Fuzzy Logic and Intelligent Systems

  • 제12권1호
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  • Pages.66-76
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  • 2012
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  • 1598-2645(pISSN)
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  • 2093-744X(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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Ordinary Smooth Topological Spaces

  • Lim, Pyung-Ki (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University) ;
  • Ryoo, Byeong-Guk (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)
  • 투고 : 2011.08.31
  • 심사 : 2012.03.20
  • 발행 : 2012.03.25
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초록

In this paper, we introduce the concept of ordinary smooth topology on a set X by considering the gradation of openness of ordinary subsets of X. And we obtain the result [Corollary 2.13] : An ordinary smooth topology is fully determined its decomposition in classical topologies. Also we introduce the notion of ordinary smooth [resp. strong and weak] continuity and study some its properties. Also we introduce the concepts of a base and a subbase in an ordinary smooth topological space and study their properties. Finally, we investigate some properties of an ordinary smooth subspace.

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참고문헌

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피인용 문헌

  1. Some Topological Structures of Ordinary Smooth Topological Spaces vol.22, pp.6, 2012, https://doi.org/10.5391/JKIIS.2012.22.6.799
  2. Closures and Interiors Redefined, and Some Types of Compactness in Ordinary Smooth Topological Spaces vol.23, pp.1, 2013, https://doi.org/10.5391/JKIIS.2013.23.1.80