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On the group of homeomorphisms on R: A revisit

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On the group of homeomorphisms on R: A revisit

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Nombre: AliMubeena - On the ...
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dc.contributor.author Ali Akbar, Kamaludheen es_ES
dc.contributor.author Mubeena, T. es_ES
dc.date.accessioned 2022-10-06T10:13:23Z
dc.date.available 2022-10-06T10:13:23Z
dc.date.issued 2022-10-03
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/187148
dc.description.abstract [EN]  In this article, we prove that the group of all increasing homeomorphisms on R has exactly five normal subgroups, and the group of all homeomorphisms on R has exactly four normal subgroups. There are several results known about the group of homeomorphisms on R and about the group of increasing homeomorphisms on R ([2], [6], [7] and [8]), but beyond this there is virtually nothing in the literature concerning the topological structure in the aspects of topological dynamics. In this paper, we analyze this structure in some detail. es_ES
dc.description.sponsorship The first author acknowledges SERB-MATRICS Grant No. MTR/2018/000256 for financial support. The second author acknowledges University of Calicut, Seed Money (U.O. No. 11733/2021/Admn; Dated: 11.10.2021), INDIA for financial support. 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 Group of homeomorphisms es_ES
dc.subject Normal subgroups es_ES
dc.subject Dynamical systems es_ES
dc.subject Fixed points es_ES
dc.subject Conjugacy es_ES
dc.subject Bounded functions es_ES
dc.title On the group of homeomorphisms on R: A revisit es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2022.16143
dc.relation.projectID info:eu-repo/grantAgreement/UOC//11733%2F2021 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/SERB/MTR%2F2018%2F000256 es_ES
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Ali Akbar, K.; Mubeena, T. (2022). On the group of homeomorphisms on R: A revisit. Applied General Topology. 23(2):269-280. https://doi.org/10.4995/agt.2022.16143 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2022.16143 es_ES
dc.description.upvformatpinicio 269 es_ES
dc.description.upvformatpfin 280 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 23 es_ES
dc.description.issue 2 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\16143 es_ES
dc.contributor.funder University of Calicut es_ES
dc.contributor.funder Science and Engineering Research Board, India es_ES
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dc.description.references I. N. Herstein, Topics in Algebra, John Wiley and Sons, 2nd Revised edition, 1975. es_ES
dc.description.references A. G. O'Farrell, Conjugacy, involutions, and reversibility for real homeomorphisms, Irish Math. Soc. Bulletin 54 (2004), 41-52. https://doi.org/10.33232/BIMS.0054.41.52 es_ES
dc.description.references S. Ulam and J. von Neumann, On the group of homeomorphisms of the surface of the sphere, (abstract), Bull. Amer. Math. Soc. 53 (1947), 506. es_ES
dc.description.references J. V. Whittaker, Normal subgroups of some homeomorphism groups, Pacific J. Math. 10, no. 4 (1960), 1469-1478. https://doi.org/10.2140/pjm.1960.10.1469 es_ES


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