The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
권호 표지

GENERALIZED sg-OPEN SETS IN STRONG GENERALIZED NEIGHBORHOOD SPACES

  • Min, Won-Keun (DEPARTMENT OF MATHEMATICS, KANGWON NATIONAL UNIVERSITY)
  • Received : 2008.07.30
  • Accepted : 2010.08.18
  • Published : 2010.08.31
Download PDF
⟨ Previous Next ⟩

Abstract

We introduce the notions of sg-semiopen set and other kinds of generalized sg-open sets and we investigate some properties for such generalized sg-open sets.

Keywords

References

  1. A. Csaszar: Generalized Topology, Generalized Continuity. Acta Math. Hungar. 96 (2002), 351-357. https://doi.org/10.1023/A:1019713018007
  2. A. Csaszar: Remarks on quasi-topologies. Acta Math. Hungar. 119 (2008), no. 1-2, 197-200. https://doi.org/10.1007/s10474-007-7023-4
  3. W.K. Min: Some Results on Generalized Topological Spaces and Generalized Systems. Acta Math. Hungar. 108 (2005), no. 1-2, 171-181. https://doi.org/10.1007/s10474-005-0218-7
  4. W.K. Min: On strong generalized neighborhood systems and sg-open sets. Commun. Korean Math. Soc. 23 (2008), no. 1, 125-131 https://doi.org/10.4134/CKMS.2008.23.1.125
  5. W.K. Min: Results on strong generalized neighborhood spaces. J. Korea Soc. Math. Edu. Ser. B: Pure Appl. Math. 15 (2008), no. 3, 221-227.
  6. A.S. Mashhourr, A.A. Allam, F.S. Mahmoud & F.H. Khadr: On supratopological spaces. Indian J. Pure Appl. Math. 14 (1983), no. 3, 502-510.