Mostra el registre d'ítem simple
Pontryagin duality in the class of precompact Abelian groups and the Baire property
dc.contributor.author | Bruguera Padró, Maria Montserrat |
dc.contributor.author | Tkachenko, Mikhail |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2012-10-16T07:52:12Z |
dc.date.available | 2012-10-16T07:52:12Z |
dc.date.created | 2012 |
dc.date.issued | 2012 |
dc.identifier.citation | Bruguera, M.; Tkachenko, M. Pontryagin duality in the class of precompact Abelian groups and the Baire property. "Journal of pure and applied algebra", 2012, vol. 216, núm. 12, p. 2636-2647. |
dc.identifier.issn | 0022-4049 |
dc.identifier.uri | http://hdl.handle.net/2117/16724 |
dc.description.abstract | We present a wide class of reflexive, precompact, non-compact, Abelian topological groups G determined by three requirements. They must have the Baire property, satisfy the open refinement condition, and contain no infinite compact subsets. This combination of properties guarantees that all compact subsets of the dual group G∧ are finite. We also show that many (non-reflexive) precompact Abelian groups are quotients of reflexive precompact Abelian groups. This includes all precompact almost metrizable groups with the Baire property and their products. Finally, given a compact Abelian group G of weight ≥ 2!, we find proper dense subgroups H1 and H2 of G such that H1 is reflexive and pseudocompact, while H2 is non-reflexive and almost metrizable. |
dc.format.extent | 12 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia |
dc.subject.lcsh | Harmonic analysis |
dc.subject.lcsh | Topological groups |
dc.subject.other | Reflexive |
dc.subject.other | Precompact |
dc.subject.other | Pseudocompact |
dc.subject.other | Baire property |
dc.subject.other | Open refinement condition |
dc.subject.other | h-embedded subgroup |
dc.subject.other | Convergent sequence |
dc.subject.other | Almost metrizable |
dc.title | Pontryagin duality in the class of precompact Abelian groups and the Baire property |
dc.type | Article |
dc.subject.lemac | Anàlisi harmònica |
dc.subject.lemac | Grups topològics |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::43 Abstract harmonic analysis |
dc.subject.ams | Classificació AMS::22 Topological groups, lie groups::22D Locally compact groups and their algebras |
dc.relation.publisherversion | http://arxiv.org/pdf/1101.4504v1.pdf |
dc.rights.access | Open Access |
local.identifier.drac | 10910072 |
dc.description.version | Preprint |
local.citation.author | Bruguera, M.; Tkachenko, M. |
local.citation.publicationName | Journal of pure and applied algebra |
local.citation.volume | 216 |
local.citation.number | 12 |
local.citation.startingPage | 2636 |
local.citation.endingPage | 2647 |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [415]
-
Articles de revista [3.269]