Sets with large intersection properties in metric spaces
Resumen:
In this work we reproduce the characterization of Gs-sets from the euclidean setting [12] to more general metric spaces. These sets have Hausdorff dimension at least s and are closed by countable intersections, which is particularly useful to estimate the dimension of the so called sets of α-approximable points (that typically appear in Diophantine approximations)
| 2021 | |
|
Diophantine approximations Metric spaces Net measures |
|
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/38417 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1807522796901761024 |
|---|---|
| author | Negreira, Felipe |
| author2 | Sequeira Manzino, Emiliano |
| author2_role | author |
| author_facet | Negreira, Felipe Sequeira Manzino, Emiliano |
| author_role | author |
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| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Negreira Felipe, Universidad de la República (Uruguay). CENUR Sequeira Manzino Emiliano, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática. |
| dc.creator.none.fl_str_mv | Negreira, Felipe Sequeira Manzino, Emiliano |
| dc.date.accessioned.none.fl_str_mv | 2023-07-26T12:41:17Z |
| dc.date.available.none.fl_str_mv | 2023-07-26T12:41:17Z |
| dc.date.issued.none.fl_str_mv | 2021 |
| dc.description.abstract.none.fl_txt_mv | In this work we reproduce the characterization of Gs-sets from the euclidean setting [12] to more general metric spaces. These sets have Hausdorff dimension at least s and are closed by countable intersections, which is particularly useful to estimate the dimension of the so called sets of α-approximable points (that typically appear in Diophantine approximations) |
| dc.description.es.fl_txt_mv | Publicado también como: Journal of Mathematical Analysis and Applications, 2022, 511(1). DOI: 10.1016/j.jmaa.2022.126064 |
| dc.format.extent.es.fl_str_mv | 22 h. |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Negreira, F y Sequeira Manzino, E. "Sets with large intersection properties in metric spaces" [Preprint]. Publicado en: Mathematics (Metric Geometry). 2021, arXiv: 2010.12003v2, jun 2021, pp 1-22 |
| dc.identifier.doi.none.fl_str_mv | 2010.12003v2 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/38417 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | arXiv |
| dc.relation.ispartof.es.fl_str_mv | Mathematics (Metric Geometry) |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
| dc.subject.es.fl_str_mv | Diophantine approximations Metric spaces Net measures |
| dc.title.none.fl_str_mv | Sets with large intersection properties in metric spaces |
| dc.type.es.fl_str_mv | Preprint |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/preprint |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/submittedVersion |
| description | Publicado también como: Journal of Mathematical Analysis and Applications, 2022, 511(1). DOI: 10.1016/j.jmaa.2022.126064 |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_87f72792958a4da30fdd211d71464ed6 |
| identifier_str_mv | Negreira, F y Sequeira Manzino, E. "Sets with large intersection properties in metric spaces" [Preprint]. Publicado en: Mathematics (Metric Geometry). 2021, arXiv: 2010.12003v2, jun 2021, pp 1-22 2010.12003v2 |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language | eng |
| language_invalid_str_mv | en |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/38417 |
| publishDate | 2021 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
| repository.name.fl_str_mv | COLIBRI - Universidad de la República |
| repository_id_str | 4771 |
| rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| spelling | Negreira Felipe, Universidad de la República (Uruguay). CENURSequeira Manzino Emiliano, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática.2023-07-26T12:41:17Z2023-07-26T12:41:17Z2021Negreira, F y Sequeira Manzino, E. "Sets with large intersection properties in metric spaces" [Preprint]. Publicado en: Mathematics (Metric Geometry). 2021, arXiv: 2010.12003v2, jun 2021, pp 1-22https://hdl.handle.net/20.500.12008/384172010.12003v2Publicado también como: Journal of Mathematical Analysis and Applications, 2022, 511(1). DOI: 10.1016/j.jmaa.2022.126064In this work we reproduce the characterization of Gs-sets from the euclidean setting [12] to more general metric spaces. These sets have Hausdorff dimension at least s and are closed by countable intersections, which is particularly useful to estimate the dimension of the so called sets of α-approximable points (that typically appear in Diophantine approximations)Submitted by Egaña Florencia (florega@gmail.com) on 2023-07-25T19:44:16Z No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 2010.12003.pdf: 292757 bytes, checksum: 1a07d78f20d5034afb7f79b9cb7764c7 (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2023-07-26T11:11:55Z (GMT) No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 2010.12003.pdf: 292757 bytes, checksum: 1a07d78f20d5034afb7f79b9cb7764c7 (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2023-07-26T12:41:17Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 2010.12003.pdf: 292757 bytes, checksum: 1a07d78f20d5034afb7f79b9cb7764c7 (MD5) Previous issue date: 202122 h.application/pdfenengarXivMathematics (Metric Geometry)Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. 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- Universidad de la Repúblicafalse |
| spellingShingle | Sets with large intersection properties in metric spaces Negreira, Felipe Diophantine approximations Metric spaces Net measures |
| status_str | submittedVersion |
| title | Sets with large intersection properties in metric spaces |
| title_full | Sets with large intersection properties in metric spaces |
| title_fullStr | Sets with large intersection properties in metric spaces |
| title_full_unstemmed | Sets with large intersection properties in metric spaces |
| title_short | Sets with large intersection properties in metric spaces |
| title_sort | Sets with large intersection properties in metric spaces |
| topic | Diophantine approximations Metric spaces Net measures |
| url | https://hdl.handle.net/20.500.12008/38417 |
