대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제27권2호
  • /
  • Pages.341-345
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  • 2012
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON MINIMAL SEMICONTINUOUS FUNCTIONS

  • Min, Won-Keun (Department of Mathematics Kangwon National University)
  • 투고 : 2009.12.28
  • 발행 : 2012.04.30
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초록

In this paper, we introduce the notions of minimal semicon-tinuity, strongly $m$-semiclosed graph, $m$-semiclosed graph, $m$-semi-$T_2$, $m$-semicompact and investigate some properties for such notions.

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참고문헌

  1. N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36-41. https://doi.org/10.2307/2312781
  2. W. K. Min, m-semiopen sets and M-semicontinuous functions on spaces with minimal structures, Honam Math. J. 31 (2009), no. 2, 239-245. https://doi.org/10.5831/HMJ.2009.31.2.239
  3. V. Popa and T. Noiri, On the definition of some generalized forms of continuity under minimal conditions, Mem. Fac. Sci. Kochi Univ. Ser. A Math. 22 (2001), 9-19.
  4. V. Popa and T. Noiri, On M-continuous functions, Anal. Univ. Dunarea de Jos Galati, Ser. Mat. Fiz. Mec. Teor. (2) 18(23) (2000), 31-41.

피인용 문헌

  1. DENSE SETS IN WEAK STRUCTURE AND MINIMAL STRUCTURE vol.28, pp.3, 2013, https://doi.org/10.4134/CKMS.2013.28.3.589