The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
권호 표지

FAINTLY ${\gamma}$-CONTINUOUS FUNCTIONS

  • Min, Won-Keun (DEPARTMENT OF MATHEMATICS, KANGWON NATIONAL UNIVERSITY)
  • Received : 2009.07.15
  • Accepted : 2010.05.11
  • Published : 2010.05.31
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we introduce the concepts of faintly ${\gamma}$-continuity and extremely ${\gamma}$-closed graph. And we study characterizations of such functions and relationships between faintly ${\gamma}$-continuity and extremely ${\gamma}$-closed graph.

Keywords

References

  1. R.M. Latif: Semi-convergence of filters and nets. Math. J. Okayama University 41 (1999), 103-109.
  2. R.M. Latif: Characterizations of mappings in $\gamma$-open sets. KFUPM., Technical Report 332 (2005), 103-109.
  3. R.M. Latif: Characterizations of Mappings in Gamma-Open Sets. Soochow Journal of Mathematics 33 (2007), no. 2, 187-202.
  4. N. Levine: Semi-open Sets and Semi-continuity in Topological Spaces. Amer. Math. Monthly 70 (1963), 36-41. https://doi.org/10.2307/2312781
  5. W.K. Min: $\gamma$-sets and $\gamma$-continuous functions. Inter. J. Math. & Math. Sci. 31 (2002), no. 3, 177-181. https://doi.org/10.1155/S0161171202109240
  6. W.K. Min: On Weakly $\gamma$-continuous Functions. Honam Math. J. 30(2008), no. 3, 435-442. https://doi.org/10.5831/HMJ.2008.30.3.435
  7. T. Noiri: Faintly m-continuous functions. Chaos, Solitons & Fracals 19 (2004), 1147-1159. https://doi.org/10.1016/S0960-0779(03)00303-5
  8. N.V. Velicko: H-closed topological Spaces. Amer. Math. Soc. Transl. 78 (1968), 103-118.