On Some FT_i-space ;i=0,1,2 in Topological Space

Authors

  • Mustafa Mohammed Turki Department of Mathematics, College of Sciencen, University of Al-Qadisiyah, Diwaniyah, Iraq
  • Raad Aziz Hussan Department of Mathematics, College of Sciencen, University of Al-Qadisiyah, Diwaniyah, Iraq

DOI:

https://doi.org/10.29304/jqcsm.2024.16.21561

Keywords:

F_open, F_closed, FT_0_space, FT_(1 )_space, FT_2 _space

Abstract

In this paper, we introduce a new definitions of Separation Axiom which we called  _space, _space,  _space, Then we set the characteristics for each definition and demonstrated the interconnection between the three definitions. We also demonstrated the genetic and partial characteristics in each definition.

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References

R. Engelking. General Topology. PWN, Warszawa, 1977.

C. Kuratowski. Topology I. 4th. ed., in French, Hafner, New york, 1958

L. Steen and J. Seebach. GCounterexamples in Topology. Dover Publications, INC, 1995

M. H. Alqahtani "F-open and F-closed Sets in Topological Spaces"European Journal of Pure And Applied Mathematics, Vol. 16, No . 2, 2023, 819-832.

H.M.Darwesh, N.O.Hessean, S_g-open Sets in Topological Spaces, JZS(2015) 17 -1(Part-A).

M. H. Alqahtani "C-open Sets on Topological Spaces ,arXiv:2305.03166(math)on 4 May 2023.

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Published

2024-06-30

How to Cite

Mohammed Turki, M., & Aziz Hussan, R. (2024). On Some FT_i-space ;i=0,1,2 in Topological Space. Journal of Al-Qadisiyah for Computer Science and Mathematics, 16(2), Math. 126–130. https://doi.org/10.29304/jqcsm.2024.16.21561

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Section

Math Articles