DOI QR코드

DOI QR Code

NOTES ON γ-OPEN SETS DEFINED BY γ-OPERATION ON A SUPRATOPOLOGICAL SPACE

  • Kim, Young Key (Department of Mathematics, MyongJi University) ;
  • Min, Won Keun (Department of Mathematics, Kangwon National University)
  • Received : 2019.04.30
  • Accepted : 2019.03.01
  • Published : 2019.05.15

Abstract

In this paper, the notion of ${\gamma}$-operation on a supratopological space is introduced. We found that the ${\gamma}$-operation induces a supratopology (topology) containing a given supratopology. We also introduce the notions of (${\gamma}$, S)-continuous function and almost ${\Gamma}$-supracompact defined by ${\gamma}$-operation on a supratopological space and investigate some properties for such notions.

Keywords

References

  1. A. Csaszar,Generalized Open Sets, Acta. Math. Hungar. 75 (1997), no. 1-2, 65-87. https://doi.org/10.1023/A:1006582718102
  2. A. Csaszar, $\gamma$-compact Spaces, Acta. Math. Hungar. 87 (2000), no. 1-2, 99-107. https://doi.org/10.1023/A:1006725101012
  3. A. Csaszar, $\gamma$-connected Sets, Acta. Math. Hungar. 101 (2003), no. 4, 273-279. https://doi.org/10.1023/B:AMHU.0000004939.57085.9e
  4. A. S. Mashhourr, A. A. Allam, F. S. Mahmoud and F. H. Khadr, On Supratopological Spaces, Indian J. Pure Appl. Math. 14(4) (1983), 502-510.