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On certain star-K variant of a selection principle

2022/08/26 by Debraj Chandra, Nur Alam, Chandra, Debraj +1
Computer Science · Decision Sciences · Economics, Econometrics and Finance · #54B05 #54C10 #54D20 #54D99 #91A44 #Artificial Intelligence in Games #Economic theories and models #FOS: Mathematics #Game Theory and Applications #General Topology (math.GN)

paper · pdf · doi:10.48550/arxiv.2208.12677

openalex publication_date 2022/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

This article deals with certain star variants of the Scheepers property. We introduce and study the star-K-Scheepers property and corresponding game. The relationships between the game corresponding to the star-K-Scheepers property and other variants of the Scheepers games are investigated. Furthermore, the relation among the winning strategies of the players in such games are represented in an implication diagram. We present certain observations in terms of Alster covers and the Alexandroff duplicates. In addition, we examine few preservation like properties in this context. Some open problems are also posed.

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