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The diagonal of a first countable paratopological group, submetrizability, and related results

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The diagonal of a first countable paratopological group, submetrizability, and related results

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dc.contributor.author Arhangelskii, A.V. es_ES
dc.contributor.author Bella, Angelo es_ES
dc.date.accessioned 2017-06-16T11:36:36Z
dc.date.available 2017-06-16T11:36:36Z
dc.date.issued 2007-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/83066
dc.description.abstract [EN] We discuss some properties stronger than Gδ-diagonal. Among other things, we prove that any first countable paratopological group has a Gδ-diagonal of infinite rank and hence also a regular Gδ-diagonal. This answer a question recently asked by Arhangel’skii and Burke. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Gδ-diagonal of rank n es_ES
dc.subject Semitopological and paratopological groups es_ES
dc.subject Souslin number es_ES
dc.subject Submetrizability es_ES
dc.title The diagonal of a first countable paratopological group, submetrizability, and related results es_ES
dc.type Artículo es_ES
dc.date.updated 2017-06-16T10:36:12Z
dc.identifier.doi 10.4995/agt.2007.1881
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Arhangelskii, A.; Bella, A. (2007). The diagonal of a first countable paratopological group, submetrizability, and related results. Applied General Topology. 8(2):207-212. https://doi.org/10.4995/agt.2007.1881 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2007.1881 es_ES
dc.description.upvformatpinicio 207 es_ES
dc.description.upvformatpfin 212 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 8
dc.description.issue 2
dc.identifier.eissn 1989-4147
dc.description.references Arhangel’skii, A. V., & Burke, D. K. (2006). Spaces with a regular <mml:math altimg=«si1.gif» overflow=«scroll» xmlns:xocs=«http://www.elsevier.com/xml/xocs/dtd» xmlns:xs=«http://www.w3.org/2001/XMLSchema» xmlns:xsi=«http://www.w3.org/2001/XMLSchema-instance» xmlns=«http://www.elsevier.com/xml/ja/dtd» xmlns:ja=«http://www.elsevier.com/xml/ja/dtd» xmlns:mml=«http://www.w3.org/1998/Math/MathML» xmlns:tb=«http://www.elsevier.com/xml/common/table/dtd» xmlns:sb=«http://www.elsevier.com/xml/common/struct-bib/dtd» xmlns:ce=«http://www.elsevier.com/xml/common/dtd» xmlns:xlink=«http://www.w3.org/1999/xlink» xmlns:cals=«http://www.elsevier.com/xml/common/cals/dtd»><mml:msub><mml:mi>G</mml:mi><mml:mi>δ</mml:mi></mml:msub></mml:math>-diagonal. Topology and its Applications, 153(11), 1917-1929. doi:10.1016/j.topol.2005.07.013 es_ES
dc.description.references A. V. Arhangel'skii and R. Buzyakova, The rank of the diagonal and submetrizability, Comment. Math. Univ. Carolinae 47, no. 4 (2006), 585–597. es_ES
dc.description.references A. Bella, More on cellular extent and related cardinal functions, Boll. Un. Mat. Ital. 7, no. 3A (1989), 61–68. es_ES
dc.description.references Buzyakova, R. Z. (2006). Cardinalities of ccc-spaces with regular <mml:math altimg=«si1.gif» overflow=«scroll» xmlns:xocs=«http://www.elsevier.com/xml/xocs/dtd» xmlns:xs=«http://www.w3.org/2001/XMLSchema» xmlns:xsi=«http://www.w3.org/2001/XMLSchema-instance» xmlns=«http://www.elsevier.com/xml/ja/dtd» xmlns:ja=«http://www.elsevier.com/xml/ja/dtd» xmlns:mml=«http://www.w3.org/1998/Math/MathML» xmlns:tb=«http://www.elsevier.com/xml/common/table/dtd» xmlns:sb=«http://www.elsevier.com/xml/common/struct-bib/dtd» xmlns:ce=«http://www.elsevier.com/xml/common/dtd» xmlns:xlink=«http://www.w3.org/1999/xlink» xmlns:cals=«http://www.elsevier.com/xml/common/cals/dtd»><mml:msub><mml:mi>G</mml:mi><mml:mi>δ</mml:mi></mml:msub></mml:math>-diagonals. Topology and its Applications, 153(11), 1696-1698. doi:10.1016/j.topol.2005.06.004 es_ES
dc.description.references C. Liu, A note on paratopological groups, Comment. Math. Univ. Carolinae 47, no. 4 (2006), 633–640. es_ES
dc.description.references V. Mc Arthur, Gδ-diagonal and metrization theorems, Pacific J. Math. 44 (1973), 213–217. es_ES
dc.description.references V. V. Uspenskii, Large F -discrete spaces having the Souslin property, Comment. Math. Univ. Carolinae 25, no. 2 (1984), 257–260. es_ES
dc.description.references Zenor, P. (1972). On spaces with regularGδ-diagonals. Pacific Journal of Mathematics, 40(3), 759-763. doi:10.2140/pjm.1972.40.759 es_ES


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