Modifications of Strongly Nodec Spaces

Modifications of Strongly Nodec Spaces

In this paper, we introduce the notion of strongly nodec spaces and study their properties. Also, we discuss strongly nodec generalized metric spaces. Furthermore, we extend these notions to $T_{0}$-strongly nodec space by using the quotient map.

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  • [1] \'A. Cs\'asz\'ar, Generalized open sets, Acta Math. Hungar., 75 (1997), 65-87.
  • [2] Z. Li, F. Lin, Baireness on generalized topological spaces, Acta Math. Hungar., 139(4) (2013), 320-336.
  • [3] E. Korczak - Kubiak, A. Loranty, R. J. Pawlak, Baire generalized topological spaces, generalized metric spaces and infinite games, Acta Math. Hungar., 140 (2013), 203-231.
  • [4] V. Renukadevi, Remarks on generalized hyperconnectedness, Acta Math. Hungar., 136(3) (2012), 157-164.
  • [5] V. Renukadevi, S. Vadakasi, Properties of nowhere dense sets in GTSs, Kyungpook Math. J., 57 (2017), 199-210.
  • [6] E. Ekici, Generalized submaximal spaces, Acta Math. Hungar., 134(1–2) (2012), 132-138.
  • [7] M. R. Ahmadi Zand, R. Khayyeri, Generalized Gd -submaximal saces, Acta Math. Hungar., 149(2) (2016), 274-285.