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On monotonic bijections on subgroups of R

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On monotonic bijections on subgroups of R

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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. doi:10.4995/agt.2016.4116. 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


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