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On certain star versions of the Hurewicz property using ideals

  • Debraj Chandra EMAIL logo and Nur Alam
Published/Copyright: August 14, 2024
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Abstract

This article is a continuation of the study of star-𝓘-Hurewicz and strongly star-𝓘-Hurewicz properties done in [Das et al.:On certain variations of 𝓘-Hurewicz property, Topology Appl. 251 (2018), 363–376]. We primarily consider and study the relative versions of star-𝓘-Hurewicz and strongly star-𝓘-Hurewicz properties. We study their relationships with the star-Hurewicz, strongly star-Hurewicz, star-𝓘-Hurewicz, strongly star-𝓘-Hurewicz and similar other properties. Few related games are also studied.

Acknowledgement

The authors would like to express their deep gratitude to the anonymous referee for numerous useful comments and suggestions which improved the presentation of the paper considerably.

  1. Communicated by David Buhagiar

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Received: 2023-11-12
Accepted: 2024-01-31
Published Online: 2024-08-14
Published in Print: 2024-08-27

© 2024 Mathematical Institute Slovak Academy of Sciences

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