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A glance into the anatomy of monotonic maps

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A glance into the anatomy of monotonic maps

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dc.contributor.author Buzyakova, Raushan es_ES
dc.date.accessioned 2021-04-16T06:47:41Z
dc.date.available 2021-04-16T06:47:41Z
dc.date.issued 2021-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/165234
dc.description.abstract [EN] Given an autohomeomorphism on an ordered topological space or its subspace, we show that it is sometimes possible to introduce a new topology-compatible order on that space so that the same map is monotonic with respect to the new ordering. We note that the existence of such a re-ordering for a given map is equivalent to the map being conjugate (topologically equivalent) to a monotonic map on some homeomorphic ordered space. We observe that the latter cannot always be chosen to be order-isomorphic to the original space. Also, we identify other routes that may lead to similar affirmative statements for other classes of spaces and maps. es_ES
dc.description.sponsorship The author would like to thank the referee for many helpful remarks and suggestions. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Applied General Topology es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Monotonic map es_ES
dc.subject Ordered topological spaces es_ES
dc.subject Topologically equivalent maps es_ES
dc.title A glance into the anatomy of monotonic maps es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2021.12291
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Buzyakova, R. (2021). A glance into the anatomy of monotonic maps. Applied General Topology. 22(1):1-10. https://doi.org/10.4995/agt.2021.12291 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2021.12291 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 10 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 22 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\12291 es_ES
dc.description.references R. Buzyakova, On monotonic fixed-point free bijections on subgroups of $R$, Applied General Topology 17, no. 2 (2016), 83-91. https://doi.org/10.4995/agt.2016.4116 es_ES
dc.description.references R. Buzyakova and J. West, Three questions on special homeomorphisms on subgroups of R and R∞, Questions and Answers in General Topology 36, no. 1 (2018), 1-8. es_ES
dc.description.references R. Engelking, General Topology, PWN, Warszawa, 1977. es_ES
dc.description.references H. Bennet and D. Lutzer, Linearly Ordered and Generalized Ordered Spaces, Encyclopedia of General Topology, Elsevier, 2004. https://doi.org/10.1016/B978-044450355-8/50087-8 es_ES
dc.description.references D. Lutzer, Ordered Topological Spaces, Surveys in General Topology, G. M. Reed., Academic Press, New York (1980), 247-296. https://doi.org/10.1016/B978-0-12-584960-9.50014-6 es_ES
dc.description.references J. van Mill, The infinite-dimensional topology of function spaces, Elsevier, Amsterdam, 2001. es_ES


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