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R(g, g′)-CONTINUITY ON GENERALIZED TOPOLOGICAL SPACES

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We introduce the notion of R(g, g ′)-continuity on general-ized topological spaces, which is a strong form of (g, g′)-continuity. We investigate some properties and relationships among R(g, g ′)-continuity,(g, g ′)-continuity and some strong forms of (g, g′)-continuity.

Abstract

We introduce the notion of R(g, g ′)-continuity on general-ized topological spaces, which is a strong form of (g, g′)-continuity. We investigate some properties and relationships among R(g, g ′)-continuity,(g, g ′)-continuity and some strong forms of (g, g′)-continuity.

참고문헌 (5)

  1. ´A. Cs´asz´ar, "Generalized topology, generalized continuity", Acta Math. Hungar, 96(4), pp.351~357 (2002)
  2. ´A. Cs´asz´ar, "δ-and θ-modificatons of generalized topologies", Acta Math. Hungar, 120(3), pp.275~279 (2008)
  3. W. K. Min, "Some results on generalized topological spaces and generalized systems", Acta Math. Hungar, 108(1-2), pp.171~181 (2005)
  4. W. K. Min, "(δ, δ′)-continuity on generalized topological spaces", Acta Math. Hungar, 129(4), pp.350~356 (2010)
  5. W. K. Min, "Some strong forms of (g, g′)-continuity on generalized topological spaces", ~

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