On localization of the star-Menger selection principle

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Hacettepe Journal of Mathematics and Statistics
Volume:50 Issue:4
On localization of the star-Menger selection principle

On localization of the star-Menger selection principle

Authors : Debraj CHANDRA, Nur ALAM

Pages : 1155-1168

Doi:10.15672/hujms.832056

View : 25 | Download : 12

Publication Date : 2021-08-06

Article Type : Research Paper

Abstract :In this paper we primarily introduce the local version of star-Menger property, namely locally star-Menger property insert ignore into journalissuearticles values(a space with this property is called locally star-Menger); and present some important topological observations. Certain interactions between the new notion and star-Menger property are also observed. Some observations on effectively locally star-Menger Pixley-Roy hyperspaces insert ignore into journalissuearticles values(introduced here); are obtained. Preservation like properties under several topological operations are also interpreted carefully. Besides, several results on decomposition and remainder of locally star-Menger spaces are also presented.
Keywords : locally star Menger, effectively locally star Menger, Pixley Roy hyperspace, decomposition, remainder, star Menger, Menger

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