Topologies on function spaces and hyperspaces

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dc.contributor.authorGeorgiou, D.N.es_ES
dc.contributor.funderUniversity of Patras
dc.date.accessioned2017-09-06T12:06:42Z
dc.date.available2017-09-06T12:06:42Z
dc.date.issued2009-04-01
dc.date.updated2017-09-06T11:23:23Z
dc.description.abstract[EN] Let Y and Z be two fixed topological spaces, O(Z) the family of all open subsets of Z, C(Y,Z) the set of all continuous maps from Y to Z, and OZ(Y ) the set {f−1(U) : f ϵ C(Y,Z) and U ϵ O(Z)}. In this paper, we give and study new topologies on the sets C(Y,Z) and OZ(Y ) calling (A,A0)-splitting and (A,A0)-admissible, where A and A0 families of spaces.en_EN
dc.description.accrualMethodSWORDes_ES
dc.description.bibliographicCitationGeorgiou, D. (2009). Topologies on function spaces and hyperspaces. Applied General Topology. 10(1):159-171. https://doi.org/10.4995/agt.2009.1794es_ES
dc.description.issue1
dc.description.referencesArens, R. F. (1946). A Topology for Spaces of Transformations. The Annals of Mathematics, 47(3), 480. doi:10.2307/1969087es_ES
dc.description.referencesArens, R., & Dugundji, J. (1951). Topologies for function spaces. Pacific Journal of Mathematics, 1(1), 5-31. doi:10.2140/pjm.1951.1.5es_ES
dc.description.referencesJ. Dugundji, Topology, Allyn and Bacon, Inc. Boston 1968.es_ES
dc.description.referencesR. Engelking, General Topology, Warszawa 1977.es_ES
dc.description.referencesFox, R. H. (1945). On topologies for function spaces. Bulletin of the American Mathematical Society, 51(6), 429-433. doi:10.1090/s0002-9904-1945-08370-0es_ES
dc.description.referencesGeorgiou, D. N., Iliadis, S. D., & Papadopoulos, B. K. (2004). On dual topologies. Topology and its Applications, 140(1), 57-68. doi:10.1016/j.topol.2003.08.015es_ES
dc.description.referencesGierz, G., Hofmann, K. H., Keimel, K., Lawson, J. D., Mislove, M. W., & Scott, D. S. (1980). A Compendium of Continuous Lattices. doi:10.1007/978-3-642-67678-9es_ES
dc.description.referencesP. Lambrinos and B. K. Papadopoulos, The (strong) Isbell topology and (weakly) continuous lattices, Continuous Lattices and Applications, Lecture Notes in pure and Appl. Math. No. 101, Marcel Dekker, New York 1984, 191–211.es_ES
dc.description.referencesF. Schwarz and S. Weck, Scott topology, Isbell topology, and continuous convergence, Lecture Notes in Pure and Appl. Math. No.101, Marcel Dekker, New York 1984, 251-271.es_ES
dc.description.sponsorshipWork Supported by the Caratheodory programme of the University of Patras
dc.description.upvformatpfin171es_ES
dc.description.upvformatpinicio159es_ES
dc.description.volume10
dc.identifier.doi10.4995/agt.2009.1794
dc.identifier.eissn1989-4147
dc.identifier.issn1576-9402
dc.identifier.urihttps://riunet.upv.es/handle/10251/86556
dc.languageIngléses_ES
dc.publisherUniversitat Politècnica de València
dc.relation.ispartofApplied General Topology
dc.relation.publisherversionhttps://doi.org/10.4995/agt.2009.1794es_ES
dc.relation.references10.2307/1969087es_ES
dc.relation.references10.2140/pjm.1951.1.5es_ES
dc.relation.references10.1090/S0002-9904-1945-08370-0es_ES
dc.relation.references10.1016/j.topol.2003.08.015es_ES
dc.relation.references10.1007/978-3-642-67678-9es_ES
dc.rightsReconocimiento - No comercial - Sin obra derivada (by-nc-nd)es_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectSpacees_ES
dc.subjectHyperspacees_ES
dc.subjectSplitting topologyes_ES
dc.subjectAdmissible topologyes_ES
dc.titleTopologies on function spaces and hyperspaceses_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
upv.uuiddbf97b93-d9f5-4a25-8754-0f30eada151bes_ES

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Applied General Topology - Vol 10, No 1 (2009)