$\mu$-paracompact and $g_\mu$-paracompact generalized topological spaces

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Hacettepe Journal of Mathematics and Statistics
Volume:45 Issue:2
$\mu$-paracompact and $g_\mu$-paracompact generalized topological spaces

$\mu$-paracompact and $g_\mu$-paracompact generalized topological spaces

Authors : A Deb RAY, Rakesh BHOWMİCK

Pages : 447-453

View : 22 | Download : 9

Publication Date : 2016-04-01

Article Type : Research Paper

Abstract :This paper defines generalizations of paracompactness on generalized topological spaces insert ignore into journalissuearticles values(GTS); and establishes that paracompactness, near paracompactness and several other paracompact-like properties follow as special cases, by choosing the GT suitably. Also, the generalizations of locally finite and closure preserving collections in a GTS, have been studied, pointing out their interrelations. Finally, it has been observed that the celebrated theorem of E.Michael in the context of regular paracompact spaces follow as a corollary to a result achieved in this paper.
Keywords : gamma mu closure, mu locally finite, g mu locally finite, mu paracompact, g mu paracompact, gamma mu regular

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