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Nondiscrete P-groups can be reflexive
dc.contributor.author | Galindo, Jorge | |
dc.contributor.author | Recoder Núñez, Luis | |
dc.contributor.author | Tkachenko, Mikhail | |
dc.date.accessioned | 2012-09-05T11:37:38Z | |
dc.date.available | 2012-09-05T11:37:38Z | |
dc.date.issued | 2011-02-01 | |
dc.identifier.citation | Topology and its Applications (Feb. 2011), vol. 158, no. 2, p. 194-203 | |
dc.identifier.issn | 0166-8641 | |
dc.identifier.uri | http://hdl.handle.net/10234/46024 | |
dc.description.abstract | We present the first examples of nondiscrete reflexive P-groups (topological groups in which countable intersections of open sets are open) as well as of noncompact reflexive ω-bounded groups (precompact groups in which the closure of every countable set is compact). Our main result implies that every product of discrete Abelian groups equipped with the P-modified topology is reflexive. Taking uncountably many nontrivial factors, we thus answer a question posed by P. Nickolas and solve a problem raised by Ardanza-Trevijano, Chasco, Domínguez, and Tkachenko. New examples of non-reflexive P-groups are also given which are based on a further development of Leptin's technique going back to 1955. | ca_CA |
dc.format.extent | 10 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language | eng | ca_CA |
dc.language.iso | cat | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.rights | © 2011 Elsevier Inc. All rights reserved | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Pontryagin’s duality | ca_CA |
dc.subject | Reflexive | ca_CA |
dc.subject | P-group | ca_CA |
dc.subject | ω-bounded | ca_CA |
dc.subject | Product | ca_CA |
dc.subject | Σ-product | ca_CA |
dc.subject | Compact subset | ca_CA |
dc.subject | Character depends on countably many coordinates | ca_CA |
dc.title | Nondiscrete P-groups can be reflexive | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1016/j.topol.2010.10.015 | |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | ca_CA |
dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S0166864110003366 | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion |
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