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A disjointly tight irresolvable space

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A disjointly tight irresolvable space

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Bella, A.; Hrusak, M. (2020). A disjointly tight irresolvable space. Applied General Topology. 21(2):326-329. https://doi.org/10.4995/agt.2020.13836

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Título: A disjointly tight irresolvable space
Autor: Bella, Angelo Hrusak, Michael
Fecha difusión:
Resumen:
[EN] In this short note we prove the existence (in ZFC) of a completely regular countable disjointly tight irresolvable space by showing that every sub-maximal countable dense subset of 2c is disjointly tight.
Palabras clave: Irresolvable , Disjointly tight , Empty interior tightness
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2020.13836
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2020.13836
Código del Proyecto:
info:eu-repo/grantAgreement/UNICT//PIACERI 2020%2F22/
info:eu-repo/grantAgreement/UNAM//IN104220/MX/Combinatoria Infinita./
info:eu-repo/grantAgreement/CONACyT//A1-S-16164/
Agradecimientos:
The research of the first author was supported by the grand PIACERI 2020/22 (linea 2) from the University of Catania. The research of the second author was supported by PAPIIT grant IN104220, and by a CONACyT grant A1-S-16164.[+]
Tipo: Artículo

References

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A. Bella and V. I. Malykhin, Tightness and resolvability, Comment. Math. Univ. Carolinae 39, no. 1 (1998), 177-184.

E. K. van Douwen, Applications of maximal topologies, Topol. Appl. 51 (1993), 125-139. https://doi.org/10.1016/0166-8641(93)90145-4

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E. Hewitt, A problem of set-theoretic topology, Duke Math. J. 10 (1943), 309-333. https://doi.org/10.1215/S0012-7094-43-01029-4

I. Juhász, L. Soukup and Z. Szentmiklóssy, D-forced spaces: A new approach to resolvability, Topol. Appl. 153, no. 11 (2006), 1800-1824. https://doi.org/10.1016/j.topol.2005.06.007

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