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Topologies on function spaces and hyperspaces

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Topologies on function spaces and hyperspaces

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Georgiou, D. (2009). Topologies on function spaces and hyperspaces. Applied General Topology. 10(1):159-171. https://doi.org/10.4995/agt.2009.1794

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Título: Topologies on function spaces and hyperspaces
Autor: Georgiou, D.N.
Fecha difusión:
Resumen:
[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 ...[+]
Palabras clave: Space , Hyperspace , Splitting topology , Admissible topology
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2009.1794
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2009.1794
Agradecimientos:
Work Supported by the Caratheodory programme of the University of Patras
Tipo: Artículo

References

Arens, R. F. (1946). A Topology for Spaces of Transformations. The Annals of Mathematics, 47(3), 480. doi:10.2307/1969087

Arens, R., & Dugundji, J. (1951). Topologies for function spaces. Pacific Journal of Mathematics, 1(1), 5-31. doi:10.2140/pjm.1951.1.5

J. Dugundji, Topology, Allyn and Bacon, Inc. Boston 1968. [+]
Arens, R. F. (1946). A Topology for Spaces of Transformations. The Annals of Mathematics, 47(3), 480. doi:10.2307/1969087

Arens, R., & Dugundji, J. (1951). Topologies for function spaces. Pacific Journal of Mathematics, 1(1), 5-31. doi:10.2140/pjm.1951.1.5

J. Dugundji, Topology, Allyn and Bacon, Inc. Boston 1968.

R. Engelking, General Topology, Warszawa 1977.

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

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

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

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.

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.

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