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Some properties of o-bounded and strictly o-bounded groups

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Some properties of o-bounded and strictly o-bounded groups

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dc.contributor.author Hernández, C. es_ES
dc.contributor.author Robbie, D. es_ES
dc.contributor.author Tkachenko, Mikhail es_ES
dc.date.accessioned 2017-05-29T09:28:22Z
dc.date.available 2017-05-29T09:28:22Z
dc.date.issued 2000-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/81891
dc.description.abstract [EN] We continue the study of (strictly) o-bounded topological groups initiated by the first listed author and solve two problems posed earlier. It is shown here that the product of a Comfort-like topological group by a (strictly) o-bounded group is (strictly) o-bounded. Some non-trivial examples of strictly o-bounded free topological groups are given. We also show that o-boundedness is not productive, and strict o-boundedness cannot be characterized by means of second countable continuous homomorphic images. es_ES
dc.description.sponsorship The research is partially supported by Consejo Nacional de Ciencias y Tecnología (CONACyT) of Mexico, grant no. 400200-5-28411E, and grant for Special Studies Program (Long) The University of Melbourne (Science Faculty).
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 O-bounded group es_ES
dc.subject Strictly o-bounded group es_ES
dc.subject Comfort-like group es_ES
dc.title Some properties of o-bounded and strictly o-bounded groups es_ES
dc.type Artículo es_ES
dc.date.updated 2017-05-29T09:19:21Z
dc.identifier.doi 10.4995/agt.2000.3022
dc.relation.projectID info:eu-repo/grantAgreement/CONACyT//400200-5-28411E/
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Hernández, C.; Robbie, D.; Tkachenko, M. (2000). Some properties of o-bounded and strictly o-bounded groups. Applied General Topology. 1(1):29-43. https://doi.org/10.4995/agt.2000.3022 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2000.3022 es_ES
dc.description.upvformatpinicio 29 es_ES
dc.description.upvformatpfin 43 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 1
dc.description.issue 1
dc.identifier.eissn 1989-4147
dc.contributor.funder Consejo Nacional de Ciencia y Tecnología, México


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