DOI QR코드

DOI QR Code

ON WEAKLY γ-CONTINUOUS FUNCTIONS

Min, Won-Keun

  • Received : 2008.05.06
  • Accepted : 2008.08.29
  • Published : 2008.09.25

Abstract

We introduce the concepts of weakly ${\gamma}$-continuity, strongly ${\gamma}$-closed graph and ${\gamma}-T_2$ spaces. And we study some characterizations and properties or such concepts.

Keywords

weakly ${\gamma}$-continuous;${\gamma}$-compact;${\gamma}-T_2$-space;strongly ${\gamma}$-closed graph

References

  1. R. M. Latif, "Semi-convergence of filters and nets," Math. J. of Okayama University 41 (1999), 103-109.
  2. N. Levine, "Semi-open Sets and Semi-continuity in Topological Spaces," Amer. Math. Monthly 70 (1963), 36-41. https://doi.org/10.2307/2312781
  3. A. S. Mashhour. I. A. Hasanein and S. N. EI-deeb, "$\alpha$-cotinuous and $\alpha$-open mappings," Acta Math. Hung. 41(4) (1983), 213-218. https://doi.org/10.1007/BF01961309
  4. W. K. Min; $\gamma$-sets and $\gamma$-continuous functions, International Journal of Mathematics and Mathematical Sciences, 31 (3) (2002), 177-181. https://doi.org/10.1155/S0161171202109240
  5. O. Njastad, "On some classes of nearly open sets," pacific journal of mathematics 15(3) (1964), 961-970.
  6. N. V. Velicko, H-closed topological Spaces, Amer. Math. Soc. Transl., 78(1968), 103-118.