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Properties of Nowhere Dense Sets in GTSs

  • Vadakasi, Subramanian (Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College(Autonomous)) ;
  • Renukadevi, Vellapandi (Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College(Autonomous))
  • Received : 2016.07.09
  • Accepted : 2017.02.04
  • Published : 2017.06.23

Abstract

In this paper, we analyze some new properties of nowhere dense and strongly nowhere dense sets. Also, we discuss the images of nowhere dense and strongly nowhere dense sets. Further, we study the properties of weak Baire space in generalized topological spaces.

Keywords

References

  1. A. Csaszar, Generalized open sets, Acta Math. Hungar., 75(1997), 65-87. https://doi.org/10.1023/A:1006582718102
  2. E. Korczak-Kubiak, A. Loranty and R. J. Pawlak, Baire Generalized topological spaces, Generalized metric spaces and infinite Games, Acta Math. Hungar., 140(2013), 203-231. https://doi.org/10.1007/s10474-013-0304-1
  3. Z. Li and F. Lin, Baireness on generalized topological spaces, Acta Math. Hungar., 139(4)(2013), 320-336. https://doi.org/10.1007/s10474-012-0284-6
  4. V. Renukadevi and T. Muthulakshmi, Weak Baire spaces, Kyungpook Math. J., 55(2015), 181-189. https://doi.org/10.5666/KMJ.2015.55.1.181