호남수학학술지 (Honam Mathematical Journal)

  • 제34권4호
  • /
  • Pages.559-570
  • /
  • 2012
  • /
  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

NEIGHBORHOOD STRUCTURES 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)
  • 투고 : 2012.09.19
  • 심사 : 2012.12.11
  • 발행 : 2012.12.25
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

  1. K. C. Chattopadhyay, R. N. Hazra and S. K. Samanta, Gradation of openness : fuzzy topology, Fuzzy Sets and Systems 49(1992), 237-242. https://doi.org/10.1016/0165-0114(92)90329-3
  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. https://doi.org/10.5831/HMJ.2011.33.4.453
  3. M. Demirci, Neighborhood structures of smooth topological spaces, Fuzzy Sets and Systems 92(1997), 123-128. https://doi.org/10.1016/S0165-0114(96)00132-7
  4. P. K. Lim, B. K. Ryou and K. Hur, Ordinary smooth topological spaces, IJFIS. 12(1)(2012), 66-76. https://doi.org/10.5391/IJFIS.2012.12.1.66
  5. A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems 48(1992), 371-375. https://doi.org/10.1016/0165-0114(92)90352-5
  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. https://doi.org/10.1016/0165-0114(91)90100-5

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