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Strengthening connected Tychonoff topologies

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Strengthening connected Tychonoff topologies

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dc.contributor.author Shakhmatov, Dimitri es_ES
dc.contributor.author Tkachenko, Mikhail es_ES
dc.contributor.author Tkachuk, Vladimir V. es_ES
dc.contributor.author Wilson, Richard G. es_ES
dc.date.accessioned 2017-05-31T07:31:17Z
dc.date.available 2017-05-31T07:31:17Z
dc.date.issued 2002-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/82060
dc.description.abstract [EN] The problem of whether a given connected Tychonoff space admits a strictly finer connected Tychonoff topology is considered. We show that every Tychonoff space X satisfying ω (X) ≤ c and c (X) ≤ N0 admits a finer strongly σ-discrete connected Tychonoff topology of weight 2c. We also prove that every connected Tychonoff space is an open continuous image of a connected strongly σ-discrete submetrizable Tychonoff space. The latter result is applied to represent every connected topological group as a quotient of a connected strongly σ-discrete submetrizable topological group es_ES
dc.description.sponsorship The research was supported by Mexican National Council fo Science and Technology (CONACYT), grant number 400200-5-28411E
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 Connected es_ES
dc.subject Strongly σ-discrete es_ES
dc.subject Submetrizable es_ES
dc.subject Regular open set es_ES
dc.subject Dense subset es_ES
dc.subject Topological group es_ES
dc.subject Quotient group es_ES
dc.subject Free topological group es_ES
dc.title Strengthening connected Tychonoff topologies es_ES
dc.type Artículo es_ES
dc.date.updated 2017-05-30T09:34:56Z
dc.identifier.doi 10.4995/agt.2002.2058
dc.relation.projectID info:eu-repo/grantAgreement/CONACyT//400200-5-28411E/
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Shakhmatov, D.; Tkachenko, M.; Tkachuk, VV.; Wilson, RG. (2002). Strengthening connected Tychonoff topologies. Applied General Topology. 3(2):113-131. https://doi.org/10.4995/agt.2002.2058 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2002.2058 es_ES
dc.description.upvformatpinicio 113 es_ES
dc.description.upvformatpfin 131 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 3
dc.description.issue 2
dc.identifier.eissn 1989-4147
dc.contributor.funder Consejo Nacional de Ciencia y Tecnología, México


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