Kyungpook Mathematical Journal

  • 제54권3호
  • /
  • Pages.387-399
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  • 2014
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Weak Separation Axioms in Generalized Topological Spaces

  • Renukadevi, V. (Department of Mathematics, ANJA College (Autonomous)) ;
  • Sivaraj, D. (Department of Mathematics, G.K.M College of Engineering and Technology)
  • 투고 : 2012.04.11
  • 심사 : 2012.09.17
  • 발행 : 2014.09.23
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초록

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.

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참고문헌

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