충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제23권1호
  • /
  • Pages.59-63
  • /
  • 2010
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

THE αψ-CLOSURE AND THE αψ-KERNEL VIA αψ-OPEN SETS

  • 투고 : 2009.09.28
  • 심사 : 2010.01.18
  • 발행 : 2010.03.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we introduce the concept of weakly-ultra-${\alpha}{\psi}$-separation of two sets in a topological space using ${\alpha}{\psi}$-open sets. The ${\alpha}{\psi}$-closure and the ${\alpha}{\psi}$-kernel are defined in terms of this weakly ultra-${\alpha}{\psi}$-separation. We also investigate some of the properties of the ${\alpha}{\psi}$-kernel and the ${\alpha}{\psi}$-closure.

키워드

참고문헌

  1. P. Bhattacharya and B. K. Lahiri, Semi-generalized closed sets in topology, Indian J. Math. 29 (1987), no. 3, 375-382.
  2. R. Devi, A. Selvakumar and M. Parimala, $\alpha\psi$-closed sets in Topological spaces (Submitted).
  3. R. Devi and M. Parimala, On $\alpha\psi$-US space (Submitted).
  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. O. Njastad, On some classes of nearly open sets, Pacific J. Math. 15 (1965), 961-970. https://doi.org/10.2140/pjm.1965.15.961
  6. M. K. R. S. Veera kumar, Between semi-closed sets and semi-pre-closed sets, Rend. Istit. Mat. Univ. Trieste XXXII, (2000), 25-41.