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Some properties defined by relative versions of star-covering properties II

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Some properties defined by relative versions of star-covering properties II

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dc.contributor.author Bonanzinga, Maddalena es_ES
dc.contributor.author Giacopello, Davide es_ES
dc.contributor.author Maesano, Fortunato es_ES
dc.date.accessioned 2023-11-15T07:22:43Z
dc.date.available 2023-11-15T07:22:43Z
dc.date.issued 2023-10-02
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/199682
dc.description.abstract [EN] In this paper we consider some recent relative versions of Menger property called set strongly star Menger and set star Menger properties and the corresponding Hurewicz-type properties. In particular, using [2], we "easily" prove that the set strong star Menger and set strong star Hurewicz properties are between countable compactness and the property of having countable extent. Also we show that the extent of a regular set star Menger or a set star Hurewicz space cannot exceed c. Moreover, we construct (1) a consistent example of a set star Menger (set star Hurewicz) space which is not set strongly star Menger (set strongly star Hurewicz) and show that (2) the product of a set star Menger (set star Hurewicz) space with a compact space need not be set star Menger (set star Hurewicz). In particular, (1) and (2) answer some questions posed by Kočinac, Konca and Singh in [17] and [23]. es_ES
dc.description.sponsorship The research was supported by “National Group for Algebric and Geometric Structures, and their Applications” (GNSAGA-INdAM) es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Applied General Topology es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Star compact es_ES
dc.subject Strongly star compact es_ES
dc.subject Star Lindelöf es_ES
dc.subject Strongly star Lindelöf es_ES
dc.subject Star Menger es_ES
dc.subject Strongly star Menger es_ES
dc.subject Star Hurewicz es_ES
dc.subject Strongly star Hurewicz es_ES
dc.subject Set properties es_ES
dc.title Some properties defined by relative versions of star-covering properties II es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2023.17926
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Bonanzinga, M.; Giacopello, D.; Maesano, F. (2023). Some properties defined by relative versions of star-covering properties II. Applied General Topology. 24(2):391-405. https://doi.org/10.4995/agt.2023.17926 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2023.17926 es_ES
dc.description.upvformatpinicio 391 es_ES
dc.description.upvformatpfin 405 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 24 es_ES
dc.description.issue 2 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\17926 es_ES
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