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Scott-representability of some spaces of Tall and Miskin

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Scott-representability of some spaces of Tall and Miskin

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Bennet, H.; Lutzer, D. (2008). Scott-representability of some spaces of Tall and Miskin. Applied General Topology. 9(2):281-292. https://doi.org/10.4995/agt.2008.1807

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Título: Scott-representability of some spaces of Tall and Miskin
Autor: Bennet, Harold Lutzer, David
Fecha difusión:
Resumen:
[EN] In this paper we show that a variation of a technique of Miskin and Tall yields a cocompact completely regular Moore space that is Scott-domain-representable and has a closed Gδ-subspace that is not Scott-domain-rep ...[+]
Palabras clave: Domain , Scott-domain , Scott-domain-representable space , Moore space , Complete Moore space , Cocompact , Cech-complete , Subcompact , Choquet complete
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.2008.1807
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2008.1807
Tipo: Artículo

References

J. Aarts, J. deGroot and R. McDowell, Cocompactness, Nieuw Archief voor Wiskungid 36 (1970), 2–15.

J. Aarts and D. Lutzer, Completeness Properties Designed for Recognizing Baire Spaces, Dissertationes Mathematicae 116 (1974), 1–45.

Bennett, H., & Lutzer, D. (2006). Domain-representable spaces. Fundamenta Mathematicae, 189(3), 255-268. doi:10.4064/fm189-3-3 [+]
J. Aarts, J. deGroot and R. McDowell, Cocompactness, Nieuw Archief voor Wiskungid 36 (1970), 2–15.

J. Aarts and D. Lutzer, Completeness Properties Designed for Recognizing Baire Spaces, Dissertationes Mathematicae 116 (1974), 1–45.

Bennett, H., & Lutzer, D. (2006). Domain-representable spaces. Fundamenta Mathematicae, 189(3), 255-268. doi:10.4064/fm189-3-3

H. Bennett and D. Lutzer, Domain representability of certain complete spaces, Houston J. Math, to appear. H. Bennett, D. Lutzer and G. M. Reed, Domain representability and the Choquet game in Moore and BCO-spaces, Topology and its Applications, to appear.

Estill, M. E. (1950). Concerning abstract spaces. Duke Mathematical Journal, 17(4), 317-327. doi:10.1215/s0012-7094-50-01730-3

Kopperman, R., Künzi, H.-P. A., & Waszkiewicz, P. (2004). Bounded complete models of topological spaces. Topology and its Applications, 139(1-3), 285-297. doi:10.1016/j.topol.2003.12.001

Martin, K. (2003). Topological games in domain theory. Topology and its Applications, 129(2), 177-186. doi:10.1016/s0166-8641(02)00147-5

Martin, K., Mislove, M. W., & Reed, G. M. (2002). Topology and Domain Theory. Recent Progress in General Topology II, 371-394. doi:10.1016/b978-044450980-2/50014-5

V. Miskin, The Amsterdam properties in Moore spaces, Colloq. Math Soc. Janos Bolyai 41 (1983), 427–439.

Tall, F. D. (1973). A counterexample in the theories of compactness and of metrization. Indagationes Mathematicae (Proceedings), 76(5), 471-474. doi:10.1016/1385-7258(73)90072-3

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