New separation axioms in generalized topological spaces |
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| Authors: | M S Sarsak |
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| Institution: | 1.Department of Mathematics,The Hashemite University,Zarqa,Jordan |
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| Abstract: | We introduce and study new separation axioms in generalized topological spaces, namely,
m-T\frac14\mu\mbox{-}T_{\frac{1}{4}},
m-T\frac38\mu \mbox{-}T_{\frac{3}{8}} and
m-T\frac12\mu\mbox{-}T_{\frac{1}{2}}.
m-T\frac14\mu\mbox{-}T_{\frac{1}{4}} spaces are strictly placed between μ-T
0 spaces and
m-T\frac38\mu\mbox{-}T_{\frac{3}{8}},
m-T\frac38\mu\mbox{-}T_{\frac{3}{8}} spaces are strictly placed between
m-T\frac14\mu\mbox{-}T_{\frac{1}{4}} spaces and
m-T\frac12\mu \mbox{-}T_{\frac{1}{2}} spaces, and
m-T\frac12\mu\mbox{-}T_{\frac{1}{2}} spaces are strictly placed between
m-T\frac38\mu\mbox{-}T_{\frac{3}{8}} spaces and μ-T
1 spaces. |
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| Keywords: | |
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