- -

A note on rank 2 diagonals

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

A note on rank 2 diagonals

Mostrar el registro sencillo del ítem

Ficheros en el ítem

Thumbnail
Nombre: Bella;Spadaro - A ...
Tamaño: 311.6Kb
Formato: PDF
Descripción: Versión editorial
Abrir
dc.contributor.author Bella, Angelo es_ES
dc.contributor.author Spadaro, Santi es_ES
dc.date.accessioned 2020-04-27T08:46:53Z
dc.date.available 2020-04-27T08:46:53Z
dc.date.issued 2020-04-03
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/141548
dc.description.abstract [EN] We solve two questions regarding spaces with a (Gδ)-diagonal of rank 2. One is a question of Basile, Bella and Ridderbos about weakly Lindelöf spaces with a Gδ-diagonal of rank 2 and the other is a question of Arhangel’skii and Bella asking whether every space with a diagonal of rank 2 and cellularity continuum has cardinality at most continuum. 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 Cardinality bounds es_ES
dc.subject Weakly Lindelöf es_ES
dc.subject Gδ-diagonal es_ES
dc.subject Neighbourhood assignment es_ES
dc.subject Dual properties es_ES
dc.title A note on rank 2 diagonals es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2020.12065
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Bella, A.; Spadaro, S. (2020). A note on rank 2 diagonals. Applied General Topology. 21(1):81-85. https://doi.org/10.4995/agt.2020.12065 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2020.12065 es_ES
dc.description.upvformatpinicio 81 es_ES
dc.description.upvformatpfin 85 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 21 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\12065 es_ES
dc.description.references A. V. Arhangel'skii and A. Bella, The diagonal of a first-countable paratopological groups, submetrizability and related results, Appl. Gen. Topol. 8 (2007), 207-212. https://doi.org/10.4995/agt.2007.1881 es_ES
dc.description.references A. V. Arhangel'skii and R. Z. Buzyakova, The rank of the diagonal and submetrizability, Comment. Math. Univ. Carolinae 47 (2006), 585-597. es_ES
dc.description.references A. Bella, Remarks on the metrizability degree, Boll. Union. Mat. Ital. 1-3 (1987), 391-396. es_ES
dc.description.references D. Basile, A. Bella and G. J. Ridderbos, Weak extent, submetrizability and diagonal degrees, Houston J. Math. 40 (2014), 255-266. es_ES
dc.description.references M. Bell, J. Ginsburg and G. Woods, Cardinal inequalities for topological spaces involving the weak Lindelöf number, Pacific J. Math. 79 (1978), no. 1, 37-45. https://doi.org/10.2140/pjm.1978.79.37 es_ES
dc.description.references A. Bella and S. Spadaro, Cardinal invariants of cellular Lindel"of spaces, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 113 (2019), 2805-2811. https://doi.org/10.1007/s13398-019-00660-1 es_ES
dc.description.references R. Buzyakova, Cardinalities of ccc spaces with regular $G_delta$-diagonals, Topology Appl. 153 (2006), 1696-1698. https://doi.org/10.1016/j.topol.2005.06.004 es_ES
dc.description.references J. Chaber, Conditions which imply compactness in countably compact spaces, Bull. Acad. Pol. Sci. Ser. Math. 24 (1976), 993-998. es_ES
dc.description.references E. K. van Douwen and M. Reed, On chain conditions in Moore spaces II, Topology Appl. 39 (1991), 65-69. https://doi.org/10.1016/0166-8641(91)90076-X es_ES
dc.description.references J. Ginsburg and R. G. Woods, A cardinal inequality for topological spaces involving closed discrete sets, Proc. Amer. Math. Soc. 64 (1977), 357-360. https://doi.org/10.1090/S0002-9939-1977-0461407-7 es_ES
dc.description.references J. van Mill, V. V. Tkachuk and R. G. Wilson, Classes defined by stars and neighbourhood assignments, Topology Appl. 154, no. 10 (2007), 2127-2134. https://doi.org/10.1016/j.topol.2006.03.029 es_ES
dc.description.references R. Engelking, General Topology, Heldermann Verlag, Berlin, second ed., 1989. es_ES
dc.description.references D. Shakhmatov, No upper bound for cardinalities of Tychonoff C.C.C. spaces with a $G_delta$ diagonal exist (an answer to J. Ginsburg and R.G. Woods' question), Comment. Math. Univ. Carolinae 25 (1984), 731-746. es_ES
dc.description.references V. Sneider, Continuous images of Souslin and Borel sets: metrization theorems, Dokl. Acad. Nauk USSR, 50 (1945), 77-79. es_ES
dc.description.references V. Uspenskij, A large $F_sigma$-discrete Fr'echet space having the Souslin property, Comment. Math. Univ. Carolinae 25 (1984), 257-260. es_ES
dc.description.references W.-F. Xuan and Y.-K. Song, Dually properties and cardinal inequalities, Topology Appl. 234 (2018), 1-6. https://doi.org/10.1016/j.topol.2017.11.002 es_ES
dc.description.references P. Zenor, On spaces with regular $G_delta$-diagonals, Pacific J. Math. 40 (1972), 959-963. https://doi.org/10.2140/pjm.1972.40.759 es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem