• 제목/요약/키워드: generalized $T_i$ spaces for i = 0, D, $\frac{1}{2}$, 1 and 2

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Weak Separation Axioms in Generalized Topological Spaces

  • Renukadevi, V.;Sivaraj, D.
    • Kyungpook Mathematical Journal
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    • 제54권3호
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    • pp.387-399
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    • 2014

  • We show that in quasi-topological spaces, separation axiom $T_2$ is equivalent to ${\alpha}-T_2$, $T_0$ is equivalent to semi - $T_0$, and semi - $T_{\frac{1}{2}}$ is equivalent to semi - $T_D$. Also, we give characterizations for ${\alpha}-T_1$, semi - $T_1$ and semi - $T_{\frac{1}{2}}$ generalized topological spaces.

  • https://doi.org/10.5666/KMJ.2014.54.3.387 인용 PDF KSCI