Mostrar o rexistro simple do ítem
On Local Quasi-Convexity as a Three-Space Property in Topological Abelian Groups
| dc.contributor.author | Domínguez, Xabier | |
| dc.contributor.author | Tarieladze, Vaja | |
| dc.date.accessioned | 2022-03-08T18:48:29Z | |
| dc.date.available | 2022-03-08T18:48:29Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | Domínguez, X., Tarieladze, V. (2021). On local quasi-convexity as a three-space property in topological abelian groups. Journal of Mathematical Analysis and Applications, 499(2), 125052, ISSN 0022-247X, https://doi.org/10.1016/j.jmaa.2021.125052. (https://www.sciencedirect.com/science/article/pii/S0022247X21001311) | es_ES |
| dc.identifier.uri | http://hdl.handle.net/2183/29915 | |
| dc.description | Financiado para publicación en acceso aberto: Universidade da Coruña/CISUG | es_ES |
| dc.description.abstract | [Abstract] Let X be a topological abelian group and H a subgroup of X. We find conditions under which local quasi-convexity of both H and results in the same property for X. This is true for instance if H is precompact, or if X is metrizable and H is a dually embedded subgroup which is also either discrete or bounded torsion. We also give some general principles and point out some errors we have found in the existing literature on this problem. | es_ES |
| dc.description.sponsorship | The authors are grateful to M. Jesús Chasco and Elena Martín-Peinador for their very useful ideas and suggestions. The first author acknowledges the financial support of the Spanish AEI and FEDER UE funds (grants MTM2013-42486-P and MTM2016-79422-P). The second author was partially supported by Shota Rustaveli National Science Foundation of Georgia (SRNSFG) grant no. DI-18-1429 | es_ES |
| dc.description.sponsorship | Shota Rustaveli National Science Foundation of Georgia (SRNSFG); DI-18-1429 | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Elsevier | es_ES |
| dc.relation | info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2013-42486-P/ES/GRUPOS TOPOLOGICOS: DUALIDAD Y APLICACIONES/ | |
| dc.relation | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-79422-P/ES/GRUPOS TOPOLOGICOS: DUALIDAD, GRUPOS DE LIE, APLICACIONES/ | |
| dc.relation.uri | https://doi.org/10.1016/j.jmaa.2021.125052 | es_ES |
| dc.rights | Atribución 4.0 Internacional | es_ES |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
| dc.subject | Locally quasi-convex group | es_ES |
| dc.subject | Three-space property | es_ES |
| dc.subject | Dually embedded subgroup | es_ES |
| dc.subject | Extension of topological abelian groups | es_ES |
| dc.title | On Local Quasi-Convexity as a Three-Space Property in Topological Abelian Groups | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.rights.access | info:eu-repo/semantics/openAccess | es_ES |
| UDC.journalTitle | Journal of Mathematical Analysis and Applications | es_ES |
| UDC.volume | 499 | es_ES |
| UDC.issue | 2 | es_ES |
| UDC.startPage | 125052 | es_ES |
| dc.identifier.doi | 10.1016/j.jmaa.2021.125052 |
Ficheiros no ítem
Este ítem aparece na(s) seguinte(s) colección(s)
-
GI-GMNE - Artigos [54]
