On localization of the star-Menger selection principle

Year 2021, Volume: 50 Issue: 4, 1155 - 1168, 06.08.2021

Debraj Chandra , Nur Alam

https://doi.org/10.15672/hujms.832056

Cited By: 6

Abstract

In this paper we primarily introduce the local version of star-Menger property, namely locally star-Menger property (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 (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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