DOI QR코드

DOI QR Code

A NOTE ON QUASI-TOPOLOGICAL SPACES

Min, Won-Keun

  • Received : 2010.07.23
  • Accepted : 2011.02.08
  • Published : 2011.03.25

Abstract

We study some properties of quasi-topological spaces. Also we introduce the concept of Q-continuity and investigate several types of quasi-topology on an SGNS.

Keywords

strong generalized neighborhood systems;SGNS;q-open;q-closed;quasi-topology;Q-continuous;Q-open map

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; Remark On Quasi-Topologies, Acta Math. Hungar., 119(1-2) (2008), 197-200. https://doi.org/10.1007/s10474-007-7023-4
  3. A. Csaszar; Further remarks on the formular for $\gamma$-interior, Acta Math. Hungar., 113(2006), 325-332. https://doi.org/10.1007/s10474-006-0109-6
  4. A. S. Mashhour, A. A. Allam, F. S. Mahmoud and F. H. Khedr; On supratopological spaces, Indian J. pure appl. Math., 14(4) (1983), 502-510.
  5. W. K. Min; Some results on generalized topological spaces and generalized systems, Acta Math. Hungar., 108 (1-2) (2005), 171-181. https://doi.org/10.1007/s10474-005-0218-7
  6. W. K. Min; On Strong Generalized Neighborhood Systems and sg-open sets, Commun. Korean Math. Soc., 23(1) (2008), 125-131. https://doi.org/10.4134/CKMS.2008.23.1.125
  7. W. K. Min; Results On Strong Generalized Neighborhood Spaces, J. Korea Soc. Math. Educ. Ser. B: Pure Appl. Math., 15(3)(2008), 221-227.