On $\\Gamma$-Paracompact Spaces

Authors : Necati Can AÇIKGÖZ

Pages : 77-81

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Publication Date : 2023-04-30

Article Type : Research Paper

Abstract :We introduce the class of $\\Gamma$-paracompact spaces as a stronger form of paracompactness. A space $X$ is said to be $\\Gamma$-paracompact insert ignore into journalissuearticles values($\\Gamma$-P, for short); space if every open cover of $X$ has a strongly locally finite insert ignore into journalissuearticles values(SLF); open refinement. We give some characterizations of $\\Gamma$-P spaces. We also define some weaker forms of $\\Gamma$-P spaces as $\\Gamma_{\\sigma}$-paracompact and feebly $\\Gamma$-P spaces We later introduce $\\Gamma$-expandable spaces and study the relationships between $\\Gamma$-expandable and $\\Gamma$-P spaces. We also investigate some of topological properties of $\\Gamma$-P spaces.
Keywords : paracompact, \\Gamma paracompact, regular open set, strongly locally finite collection