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Strong Fréchet properties of spaces constructed from squares and AD families

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Strong Fréchet properties of spaces constructed from squares and AD families

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dc.contributor.author Chen-Mertens, William es_ES
dc.contributor.author Corral-Rojas, Cesar Ismael es_ES
dc.contributor.author Szeptycki, Paul J. es_ES
dc.date.accessioned 2023-11-15T07:18:02Z
dc.date.available 2023-11-15T07:18:02Z
dc.date.issued 2023-10-02
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/199680
dc.description.abstract [EN] We answer questions of Arhangel'skiĭ using spaces defined from combinatorial objects. We first establish further convergence properties of a space constructed from □ ( κ ) showing it is Fréchet-Urysohn for finite sets and a w-space that is not a W-space. We also show that under additional assumptions it may be not bi-sequential, and so providing a consistent example of an absolutely Fréchet α1 space that is not bisequential. In addition, if we do not require the space being α1, we can construct a ZFC example of a countable absolutely Fréchet space that is not bisequential from an almost disjoint family of subsets of the natural numbers. 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 Fréchet-Urysoh es_ES
dc.subject Bi-sequential es_ES
dc.subject W-space es_ES
dc.subject α1-space es_ES
dc.title Strong Fréchet properties of spaces constructed from squares and AD families es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2023.18504
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Chen-Mertens, W.; Corral-Rojas, CI.; Szeptycki, PJ. (2023). Strong Fréchet properties of spaces constructed from squares and AD families. Applied General Topology. 24(2):379-389. https://doi.org/10.4995/agt.2023.18504 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2023.18504 es_ES
dc.description.upvformatpinicio 379 es_ES
dc.description.upvformatpfin 389 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\18504 es_ES
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