{"title":"On certain star versions of the Hurewicz property using ideals","authors":"Debraj Chandra, Nur Alam","doi":"10.1515/ms-2024-0072","DOIUrl":null,"url":null,"abstract":"This article is a continuation of the study of star-𝓘-Hurewicz and strongly star-𝓘-Hurewicz properties done in [Das et al.:<jats:italic>On certain variations of</jats:italic> 𝓘-<jats:italic>Hurewicz property</jats:italic>, 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.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/ms-2024-0072","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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.
本文是[Das et al.:On certain variations of 𝓘-Hurewicz property, Topology Appl. 251 (2018), 363-376]中对星型𝓘-Hurewicz和强星型𝓘-Hurewicz性质研究的继续。我们主要考虑和研究星型𝓘-Hurewicz 性质和强星型𝓘-Hurewicz 性质的相对版本。我们研究了它们与星-胡勒维奇、强星-胡勒维奇、星-𝓘-胡勒维奇、强星-𝓘-胡勒维奇及类似其他性质的关系。还研究了一些相关的博弈。
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