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NEIGHBORHOOD STRUCTURES IN ORDINARY SMOOTH TOPOLOGICAL SPACES
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  • Journal title : Honam Mathematical Journal
  • Volume 34, Issue 4,  2012, pp.559-570
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2012.34.4.559
 Title & Authors
NEIGHBORHOOD STRUCTURES IN ORDINARY SMOOTH TOPOLOGICAL SPACES
Lee, Jeong Gon; Lim, Pyung Ki; Hur, Kul;
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 Abstract
We construct a new definition of a base for ordinary smooth topological spaces and introduce the concept of a neighborhood structure in ordinary smooth topological spaces. Then, we state some of their properties which are generalizations of some results in classical topological spaces.
 Keywords
ordinary smooth topological space;ordinary smooth;base;ordinary neighborhood system;
 Language
English
 Cited by
1.
Some Topological Structures of Ordinary Smooth Topological Spaces,;;;

한국지능시스템학회논문지, 2012. vol.22. 6, pp.799-805 crossref(new window)
1.
Some Topological Structures of Ordinary Smooth Topological Spaces, Journal of Korean Institute of Intelligent Systems, 2012, 22, 6, 799  crossref(new windwow)
 References
1.
K. C. Chattopadhyay, R. N. Hazra and S. K. Samanta, Gradation of openness : fuzzy topology, Fuzzy Sets and Systems 49(1992), 237-242. crossref(new window)

2.
M. S. Cheng, G. P. Chae, K. Hur and S. M. Kim, The lattice of ordinary smooth topologies, Honam Math. J. 33(4)(2011), 453-465. crossref(new window)

3.
M. Demirci, Neighborhood structures of smooth topological spaces, Fuzzy Sets and Systems 92(1997), 123-128. crossref(new window)

4.
P. K. Lim, B. K. Ryou and K. Hur, Ordinary smooth topological spaces, IJFIS. 12(1)(2012), 66-76.

5.
A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems 48(1992), 371-375. crossref(new window)

6.
A. P. Sostak, On a fuzzy topological structure, Rend. Circ. Matem. Palermo Ser. II, 11(1985), 89-103.

7.
M. S. Ying, A new approach for fuzzy topology (I), Fuzzy Sets and Systems 39(1991), 303-321. crossref(new window)