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On local cross sections in topological abelian groups
dc.contributor.author | Bello, Hugo J. | |
dc.contributor.author | Chasco, MJ | |
dc.contributor.author | Domínguez, Xabier | |
dc.contributor.author | Stevens, T. Christine | |
dc.date.accessioned | 2024-02-01T17:00:09Z | |
dc.date.available | 2024-02-01T17:00:09Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Bello, H. J., Chasco, M. J., Domínguez, X., & Stevens, T. C. (2019). On local cross sections in topological abelian groups. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 113, 2145-2154. https://doi.org/10.1007/s13398-018-0599-4 | es_ES |
dc.identifier.uri | http://hdl.handle.net/2183/35331 | |
dc.description | Versión aceptada de https://doi.org/10.1007/s13398-018-0599-4 | es_ES |
dc.description.abstract | [Abstract:] We introduce the notion of local pseudo-homomorphism between two topological abelian groups. We prove that it is closely related with the widely studied notions of local cross sections and splitting extensions in the category of topological abelian groups. In the final section we present an example of a non-splitting extension of (R, τν ) by R, where τν is a metrizable group topology on R weaker than the usual one. This extension admits a local cross section. | es_ES |
dc.description.sponsorship | The authors acknowledge the financial support of the Spanish AEI and FEDER UE funds. Grant: MTM2016-79422-P. They also acknowledge the support of the Asociación de Amigos of the University of Navarra. A portion of this research was conducted while the fourth author was a Fulbright Senior Scholar. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Springer | es_ES |
dc.relation | info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-79422-P/ES/GRUPOS TOPOLOGICOS: DUALIDAD, GRUPOS DE LIE, APLICACIONES | es_ES |
dc.relation.uri | https://doi.org/10.1007/s13398-018-0599-4 | es_ES |
dc.rights | © Springer-Verlag Italia S.r.l., part of Springer Nature 2018 | es_ES |
dc.subject | Local cross section | es_ES |
dc.subject | Extension of topological abelian groups | es_ES |
dc.subject | Local pseudo-homomorphism | es_ES |
dc.subject | Quasi-homomorphism | es_ES |
dc.subject | Weakened | es_ES |
dc.subject | Lie group | es_ES |
dc.title | On local cross sections 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 | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | es_ES |
UDC.volume | 113 | es_ES |
UDC.startPage | 2145 | es_ES |
UDC.endPage | 2154 | es_ES |
dc.identifier.doi | 10.1007/s13398-018-0599-4 |
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