- -

Topologies on function spaces and hyperspaces

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Topologies on function spaces and hyperspaces

Mostrar el registro sencillo del ítem

Ficheros en el ítem

Thumbnail
Nombre: 1794-5591-1-SM.pdf
Tamaño: 175.3Kb
Formato: PDF
Abrir
dc.contributor.author Georgiou, D.N. es_ES
dc.date.accessioned 2017-09-06T12:06:42Z
dc.date.available 2017-09-06T12:06:42Z
dc.date.issued 2009-04-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/86556
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. es_ES
dc.description.sponsorship Work Supported by the Caratheodory programme of the University of Patras
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 Space es_ES
dc.subject Hyperspace es_ES
dc.subject Splitting topology es_ES
dc.subject Admissible topology es_ES
dc.title Topologies on function spaces and hyperspaces es_ES
dc.type Artículo es_ES
dc.date.updated 2017-09-06T11:23:23Z
dc.identifier.doi 10.4995/agt.2009.1794
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Georgiou, D. (2009). Topologies on function spaces and hyperspaces. Applied General Topology. 10(1):159-171. https://doi.org/10.4995/agt.2009.1794 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2009.1794 es_ES
dc.description.upvformatpinicio 159 es_ES
dc.description.upvformatpfin 171 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 10
dc.description.issue 1
dc.identifier.eissn 1989-4147
dc.contributor.funder University of Patras
dc.description.references Arens, R. F. (1946). A Topology for Spaces of Transformations. The Annals of Mathematics, 47(3), 480. doi:10.2307/1969087 es_ES
dc.description.references Arens, R., & Dugundji, J. (1951). Topologies for function spaces. Pacific Journal of Mathematics, 1(1), 5-31. doi:10.2140/pjm.1951.1.5 es_ES
dc.description.references J. Dugundji, Topology, Allyn and Bacon, Inc. Boston 1968. es_ES
dc.description.references R. Engelking, General Topology, Warszawa 1977. es_ES
dc.description.references Fox, R. H. (1945). On topologies for function spaces. Bulletin of the American Mathematical Society, 51(6), 429-433. doi:10.1090/s0002-9904-1945-08370-0 es_ES
dc.description.references Georgiou, 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.2003.08.015 es_ES
dc.description.references Gierz, G., Hofmann, K. H., Keimel, K., Lawson, J. D., Mislove, M. W., & Scott, D. S. (1980). A Compendium of Continuous Lattices. doi:10.1007/978-3-642-67678-9 es_ES
dc.description.references P. 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.references F. 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


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem