• 호남수학학술지
• /
• 제32권4호
• /
• pp.619-624
• /
• 2010

We introduce the notions of bigeneralized topological spaces and quasi generalized open sets, and study some basic properties for the sets. We also introduce the notion of quasi generalized continuity on bigeneralized topological spaces, and investigate characterizations for the continuity.

• 충청수학회지
• /
• 제24권3호
• /
• pp.409-415
• /
• 2011

We introduce the notion of weakly quasi generalized continuous functions, and investigate properties for the continuity.

• Kyungpook Mathematical Journal
• /
• 제54권3호
• /
• pp.387-399
• /
• 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.