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http://dx.doi.org/10.5666/KMJ.2014.54.3.387

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)
Publication Information
Kyungpook Mathematical Journal / v.54, no.3, 2014 , pp. 387-399 More about this Journal
Abstract
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.
Keywords
generalized topology; ${\mu}$-closed and ${\mu}$-open sets; generalized $T_i$ spaces for i = 0, D, $\frac{1}{2}$, 1 and 2;
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