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ON THE QUASI-(⊖, s)-CONTINUITY

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The quasi-(⊖, s)-continuity is a weakened form of the weak (⊖, s)-continuity and equivalent to the weak quasi-continuity. The basic properties of those functions are investigated in concern with the other weakened continuous functions. It turns out that the open property of a function and the extremall disconnectedness of the spaces are crucial tools for the survey of these functions.

Abstract

The quasi-(⊖, s)-continuity is a weakened form of the weak (⊖, s)-continuity and equivalent to the weak quasi-continuity. The basic properties of those functions are investigated in concern with the other weakened continuous functions. It turns out that the open property of a function and the extremall disconnectedness of the spaces are crucial tools for the survey of these functions.

참고문헌 (7)

  1. G. Di Maio, "On s-closed spaces", Indian J. pure appl. Math, 18, pp.226~233 (1978)
  2. J.E. Joseph, "On S-closed Spaces", Proc. Amer. Math. Soc, 80, pp.341~348 (1980)
  3. N. Levin, "Semi-open sets and semi-continuity in topological spaces", Amer. Math. Monthly, 70, pp.36~41 (1963)
  4. S. Kim, "On weakened forms of ( s)-continuity", Korean J. Math, 14(2), pp.249~258 (2006)
  5. S.N. Maheswari, "On s-regular spaces", Glasnik Mat, 10, pp.347~350 (1975)
  6. T. Noiri, "Properties of ( s)-continuous functions", Topology and its Applications, 123, pp.167~179 (2002)
  7. T. Thomsen, "S-closed spaces", Proc. Amer.Math. Soc, 60, pp.335~338 (1976)

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