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dc.contributor.author | Buzyakova, Raushan | es_ES |
dc.date.accessioned | 2016-10-20T10:06:15Z | |
dc.date.available | 2016-10-20T10:06:15Z | |
dc.date.issued | 2016-10-03 | |
dc.identifier.issn | 1576-9402 | |
dc.identifier.uri | http://hdl.handle.net/10251/72405 | |
dc.description.abstract | [EN] We show that for any continuous monotonic bijection $f$ on a $\sigma$-compact subgroup $G\subset \mathbb R$ there exists a binary operation $+_f$ such that $\langle G, +_f\rangle$ is a topological group topologically isomorphic to $\langle G, +\rangle$ and $f$ is a shift with respect to $+_f$. We then show that monotonicity cannot be replaced by a periodic-point free continuous bijections. We explore a few routes leading to generalizations and counterexamples | es_ES |
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 | Ordered group | es_ES |
dc.subject | Topological group | es_ES |
dc.subject | Homeomorphism | es_ES |
dc.subject | Shift | es_ES |
dc.subject | Monotonic function | es_ES |
dc.subject | Fixed point | es_ES |
dc.subject | Periodic point | es_ES |
dc.title | On monotonic bijections on subgroups of R | es_ES |
dc.type | Artículo | es_ES |
dc.date.updated | 2016-10-20T08:33:34Z | |
dc.identifier.doi | 10.4995/agt.2016.4116 | |
dc.rights.accessRights | Abierto | es_ES |
dc.description.bibliographicCitation | Buzyakova, R. (2016). On monotonic bijections on subgroups of R. Applied General Topology. 17(2):83-91. https://doi.org/10.4995/agt.2016.4116 | es_ES |
dc.description.accrualMethod | SWORD | es_ES |
dc.relation.publisherversion | https://doi.org/10.4995/agt.2016.4116 | es_ES |
dc.description.upvformatpinicio | 83 | es_ES |
dc.description.upvformatpfin | 91 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 17 | |
dc.description.issue | 2 | |
dc.identifier.eissn | 1989-4147 | |
dc.description.references | Alexandroff, P. (1928). �ber nulldimensionale Punktmengen. Mathematische Annalen, 98(1), 89-106. doi:10.1007/bf01451582 | es_ES |
dc.description.references | W. Sierpinski, Sur une propriete topologique des ensembles denombrablesdense en soi, Fund. Math. 1 (1920), 11-16. | es_ES |
dc.description.references | J. van Mill, The Infinite-Dimensional Topology of Function Spaces, Elsevier, 2001 | es_ES |