대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제23권1호
  • /
  • Pages.125-131
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  • 2008
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON STRONG GENERALIZED NEIGHBORHOOD SYSTEMS AND sg-OPEN SETS

  • Min, Won-Keun (DEPARTMENT OF MATHEMATICS KANGWON NATIONAL UNIVERSITY)
  • 발행 : 2008.01.31
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초록

We introduce and study the concepts of strong generalized neighborhood systems, SGNS and sg-open sets. We also introduce and investigate the concept of (${\psi},\;{\psi}^'$)-continuity and sg-continuity on SGNS's.

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참고문헌

  1. A. Csazar, Generalized topology, generalized continuity, Acta Math. Hungar. 96 (2002), 351-357 https://doi.org/10.1023/A:1019713018007
  2. D. C. Kent and W. K. Min, Neighborhood spaces, International Journal of Mathematics and Mathematical Sciences 32 (2002), no. 7, 387-399 https://doi.org/10.1155/S0161171202202203
  3. A. S. Mashhour, A. A. Allam, F. S. Mahmoud, and F. H. Khedr, On supratopological spaces, Indian J. pure appl. Math. 14 (1983), no. 4, 502-510
  4. W. K. Min, Some results on generalized topological spaces and generalized systems, Acta Math. Hungar. 108 (2005), no. 1-2, 171-181 https://doi.org/10.1007/s10474-005-0218-7

피인용 문헌

  1. SPHERICAL NEWTON DISTANCE FOR OSCILLATORY INTEGRALS WITH HOMOGENEOUS PHASE FUNCTIONS vol.33, pp.1, 2011, https://doi.org/10.5831/HMJ.2011.33.1.001
  2. A NOTE ON QUASI-TOPOLOGICAL SPACES vol.33, pp.1, 2011, https://doi.org/10.5831/HMJ.2011.33.1.011