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ON STRONG GENERALIZED NEIGHBORHOOD SYSTEMS AND sg-OPEN SETS

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We introduce and study the concepts of strong generalized neighborhood systems, SGNS and sg-open sets. We also introduce and investigate the concept of (Ψ, Ψ')-continuity and sg-continuity on SGNS’s.

Abstract

We introduce and study the concepts of strong generalized neighborhood systems, SGNS and sg-open sets. We also introduce and investigate the concept of (Ψ, Ψ')-continuity and sg-continuity on SGNS’s.

참고문헌 (4)

  1. ´A. Cs´az´ar, "Generalized topology, generalized continuity", Acta Math. Hungar, 96, pp.351~357 (2002)
  2. D. C. Kent, "Neighborhood spaces", International Journal of Mathematics and Mathematical Sciences, 32(7), pp.387~399 (2002)
  3. A. S. Mashhour, "On supratopological spaces", 502–510, 14(4), pp.502~510 (1983)
  4. W. K. Min, "Some results on generalized topological spaces and generalized systems", Acta Math. Hungar, 108(1-2), pp.171~181 (2005)

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