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Weak Separation Axioms in Generalized Topological Spaces

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We show that in quasi-topological spaces, separation axiom T2 is equivalent to α-T2, T0 is equivalent to semi-T0, and semi-T½ is equivalent to semi-TD. Also, we give characterizations for α - T1, semi - T_1 and semi - T½ generalized topological spaces.

Abstract

We show that in quasi-topological spaces, separation axiom T2 is equivalent to α-T2, T0 is equivalent to semi-T0, and semi-T½ is equivalent to semi-TD. Also, we give characterizations for α - T1, semi - T_1 and semi - T½ generalized topological spaces.

참고문헌 (11)

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  3. A. Csaszar, "Generalized open sets in generalized topologies", Acta Math. Hungar., 106, pp.53~66 (2005)[DOI]
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  7. V. Pankajam, "Some separation axioms in generalized topological spaces", Bol. Soc. Paran. Mat.(3s)., 31(1), pp.29~42 (2013)
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  9. V. Renukadevi, "On δ-sets in γ-spaces", Filomat, 22(1), pp.95~104 (2008)
  10. V. Renukadevi, "On weak separation axioms in generalized topological spaces", Annales Univ. Sci. Budapest., to appear, ~
  11. P. Sivagami, "Remarks on γ-interior", Acta Math. Hungar., 119, pp.81~94 (2008)[DOI]

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