Star versions of Hurewicz spaces
Sumit Singh, Ljubisa D.R. Kocinac

TL;DR
This paper introduces and studies the set star Hurewicz property in topological spaces, exploring its relationships with related properties and analyzing the implications for the structure of such spaces.
Contribution
It defines the set star Hurewicz property, investigates its connections with other covering properties, and examines the topological characteristics of spaces possessing these properties.
Findings
Relationships among set star Hurewicz, set strongly star Hurewicz, and other covering properties established.
Topological properties of spaces with these covering properties analyzed.
New insights into the structure of spaces with star covering properties obtained.
Abstract
A space is said to have the set star Hurewicz property if for each nonempty subset of and each sequence of sets open in such that for each , , there is a sequence such that for each , is a finite subset of and for each , for all but finitely many . In this paper, we investigate the relationships among set star Hurewicz, set strongly star Hurewicz and other related covering properties and study the topological properties of these topological spaces.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Fuzzy and Soft Set Theory
