Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
권호 표지
DOI QR코드

DOI QR Code

ON SEQUENTIALLY g-CONNECTED COMPONENTS AND SEQUENTIALLY LOCALLY g-CONNECTEDNESS

  • Received : 2021.01.27
  • Accepted : 2021.03.04
  • Published : 2021.06.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we introduce the definition of sequentially g-connected components and sequentially locally g-connected by using sequentially g-closed sets. Moreover, we investigate some characterization of sequentially g-connected components and sequentially locally g-connected.

Keywords

References

  1. K. Balachandran, P. Sundaram and H. Maki, On Generalized continuous functions in topological spaces, Mem. Fac. Sci. Kochi Univ., 12(1991), 5-13.
  2. M. Caldas and S. Jafari, On g-US spaces, Universitatea Din Bacau Studii Si Cercetari Stiintifice Seria: Matematica, 14 (2004), 13-20.
  3. W. Dunham, A new closure operator for non-T1 topologies, Kyungpook Math. J., 22 (1982), 55-60.
  4. W. Dunham and N. Levine, Further results on generalized closed sets in topology, Kyungpook Math. J., 20 (1980), 169-175.
  5. R. Engelking, General topology (revised and completed edition), Heldermann verlag, Berlin, 1989.
  6. A. Fedeli and A. Le Donne, On good connected preimages, Topology Appl., 125 (2002), 489-496. https://doi.org/10.1016/S0166-8641(01)00294-2
  7. N. Levine, Generalized closed sets in topology, Rend. Circ. Mat. Palermo, 19 (2) (1970), 89-96. https://doi.org/10.1007/BF02843888
  8. V. Renukadevi and P. Vijayashanthi, On I-Fr'echet-Urysohn spaces and sequential I-convergence groups, Math. Moravica, 23 (1) (2019), 119-129. https://doi.org/10.5937/MatMor1901119R
  9. P. Vijayashanthi, V. Renukadevi and B. Prakash, On countably s-Frechet-Urysohn spaces, JCT: J. Compos. Theory, XIII (II) (2020), 969-976.