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A note on locally v-bounded spaces

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A note on locally v-bounded spaces

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Georgiou, D.; Iliadis, S. (2005). A note on locally v-bounded spaces. Applied General Topology. 6(2):143-148. https://doi.org/10.4995/agt.2005.1953

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Título: A note on locally v-bounded spaces
Autor: Georgiou, D.N. Iliadis, S.D.
Fecha difusión:
Resumen:
[EN] In this paper, on the family O(Y ) of all open subsets of a space Y (actually on a complete lattice) we define the so called strong v-Scott topology, denoted by τ8v, where v is an infinite cardinal. This topology ...[+]
Palabras clave: Strong Scott topology , Strong Isbell topology , Function space , 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.2005.1953
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2005.1953
Tipo: Artículo

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

J. Dugundji, Topology, Allyn and Bacon, Inc., Boston, Mass. 1966.

S. Gagola and M. Gemignani, Absolutely bounded sets, Mathematica Japonicae, Vol. 13, No. 2 (1968), 129-132. [+]
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, Mass. 1966.

S. Gagola and M. Gemignani, Absolutely bounded sets, Mathematica Japonicae, Vol. 13, No. 2 (1968), 129-132.

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, Subsets (m, n)-bounded in a topological space, Mathematica Balkanica, 4(1974), 391-397.

Lambrinos, P. T. (1975). Locally bounded spaces. Proceedings of the Edinburgh Mathematical Society, 19(4), 321-325. doi:10.1017/s0013091500010415

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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