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Making group topologies with, and without, convergent sequences

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Making group topologies with, and without, convergent sequences

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dc.contributor.author Comfort, W.W. es_ES
dc.contributor.author Raczkowski, S.U. es_ES
dc.contributor.author Trigos-Arrieta, F.J. es_ES
dc.date.accessioned 2017-06-16T09:19:32Z
dc.date.available 2017-06-16T09:19:32Z
dc.date.issued 2006-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/82968
dc.description.abstract [EN] (1) Every infinite, Abelian compact (Hausdorff) group K admits 2|K|- many dense, non-Haar-measurable subgroups of cardinality |K|. When K is nonmetrizable, these may be chosen to be pseudocompact. (2) Every infinite Abelian group G admits a family A of 22|G|-many pairwise nonhomeomorphic totally bounded group topologies such that no nontrivial sequence in G converges in any of the topologies T ϵ A. (For some G one may arrange ω(G, T ) < 2|G| for some T ϵ A.) (3) Every infinite Abelian group G admits a family B of 22|G|-many pairwise nonhomeomorphic totally bounded group topologies, with ω (G, T ) = 2|G| for all T ϵ B, such that some fixed faithfully indexed sequence in G converges to 0G in each T ϵ B. es_ES
dc.description.sponsorship The second listed author acknowledges partial support from the University Research Council at CSU Bakersfield. She also wishes to thank Mrs. Mary Connie Comfort for her encouragement, without which this paper would never see the daylight. Thank you.
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 Haar measure es_ES
dc.subject Dual group es_ES
dc.subject Character es_ES
dc.subject Pseudocompact group es_ES
dc.subject Totally bounded group es_ES
dc.subject Maximal topology es_ES
dc.subject Convergent sequence es_ES
dc.subject Torsion-free group es_ES
dc.subject Torsion group es_ES
dc.subject Torsion-free rank es_ES
dc.subject p-rank es_ES
dc.subject p-adic integers es_ES
dc.title Making group topologies with, and without, convergent sequences es_ES
dc.type Artículo es_ES
dc.date.updated 2017-06-16T08:47:19Z
dc.identifier.doi 10.4995/agt.2006.1936
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Comfort, W.; Raczkowski, S.; Trigos-Arrieta, F. (2006). Making group topologies with, and without, convergent sequences. Applied General Topology. 7(1):109-124. https://doi.org/10.4995/agt.2006.1936 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2006.1936 es_ES
dc.description.upvformatpinicio 109 es_ES
dc.description.upvformatpfin 124 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 7
dc.description.issue 1
dc.identifier.eissn 1989-4147
dc.contributor.funder Cleveland State University


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