Weakly metrizable pseudocompact groups
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| dc.contributor.author | Dikranjan, Dikran
|
es_ES |
| dc.contributor.author | Giordano Bruno, Anna
|
es_ES |
| dc.contributor.author | Milan, Chiara
|
es_ES |
| dc.date.accessioned | 2017-06-16T09:02:03Z | |
| dc.date.available | 2017-06-16T09:02:03Z | |
| dc.date.issued | 2006-04-01 | |
| dc.identifier.issn | 1576-9402 | |
| dc.identifier.uri | http://hdl.handle.net/10251/82952 | |
| dc.description.abstract | [EN] We study various weaker versions of metrizability for pseudocompact abelian groups G: singularity (G possesses a compact metrizable subgroup of the form mG, m > 0), almost connectedness (G is metrizable modulo the connected component) and various versions of extremality in the sense of Comfort and co-authors (s-extremal, if G has no proper dense pseudocompact subgroups, r-extremal, if G admits no proper pseudocompact refinement). We introduce also weaklyextremal pseudocompact groups (weakening simultaneously s-extremal and r-extremal). It turns out that this “symmetric” version of ex-tremality has nice properties that restore the symmetry, to a certain extent, in the theory of extremal pseudocompact groups obtaining simpler uniform proofs of most of the known results. We characterize doubly extremal pseudocompact groups within the class of s-extremal pseudocompact groups. We give also a criterion for r-extremality for connected pseudocompact groups. | es_ES |
| dc.description.sponsorship | The first and the third author were partially supported by Research Grant of the Italian MIUR in the framework of the project “Nuove prospettive nella teoria degli anelli, dei moduli e dei gruppi abeliani” 2002. The third author was partially supported by Research Grant of the University of Udine in the framework of the project “Torsione topologica e applicazioni in algebra, analisi e teoria dei numeri”. | |
| 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 | Pseudocompact group | es_ES |
| dc.subject | Gδ-dense subgroup | es_ES |
| dc.subject | Extremal pseudocompact group | es_ES |
| dc.subject | Dense graph | es_ES |
| dc.title | Weakly metrizable pseudocompact groups | es_ES |
| dc.type | Artículo | es_ES |
| dc.date.updated | 2017-06-16T08:47:39Z | |
| dc.identifier.doi | 10.4995/agt.2006.1930 | |
| dc.rights.accessRights | Abierto | es_ES |
| dc.description.bibliographicCitation | Dikranjan, D.; Giordano Bruno, A.; Milan, C. (2006). Weakly metrizable pseudocompact groups. Applied General Topology. 7(1):1-39. https://doi.org/10.4995/agt.2006.1930 | es_ES |
| dc.description.accrualMethod | SWORD | es_ES |
| dc.relation.publisherversion | https://doi.org/10.4995/agt.2006.1930 | es_ES |
| dc.description.upvformatpinicio | 1 | es_ES |
| dc.description.upvformatpfin | 39 | 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 | Ministero dell'Istruzione dell'Università e della Ricerca, Italia | |
| dc.contributor.funder | Università degli Studi di Udine, Italia |
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