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Uniformizable and realcompact bornological universes

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Uniformizable and realcompact bornological universes

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Vroegrijk, T. (2009). Uniformizable and realcompact bornological universes. Applied General Topology. 10(2):277-287. doi:10.4995/agt.2009.1740.

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/86709

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Title: Uniformizable and realcompact bornological universes
Author: Vroegrijk, Tom
Issued date:
Abstract:
[EN] Bornological universes were introduced some time ago by Hu and obtained renewed interest in recent articles on convergence in hyperspaces and function spaces and optimization theory. One o fHu's results gives us a ...[+]
Subjects: Bornology , Uniform space , Totally bounded , Realcompactness
Copyrigths: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Source:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2009.1740
Publisher:
Universitat Politècnica de València
Publisher version: https://doi.org/10.4995/agt.2009.1740
Type: Artículo

References

Beer, G., & Levi, S. (2008). Gap, Excess and Bornological Convergence. Set-Valued Analysis, 16(4), 489-506. doi:10.1007/s11228-008-0086-8

G. Beer, S. Levi, Pseudometrizable bornological convergence is Attouch-Wets convergence, Journal of Convex Analysis 15 (2008), 439–453.

Beer, G., & Levi, S. (2009). Strong uniform continuity. Journal of Mathematical Analysis and Applications, 350(2), 568-589. doi:10.1016/j.jmaa.2008.03.058 [+]
Beer, G., & Levi, S. (2008). Gap, Excess and Bornological Convergence. Set-Valued Analysis, 16(4), 489-506. doi:10.1007/s11228-008-0086-8

G. Beer, S. Levi, Pseudometrizable bornological convergence is Attouch-Wets convergence, Journal of Convex Analysis 15 (2008), 439–453.

Beer, G., & Levi, S. (2009). Strong uniform continuity. Journal of Mathematical Analysis and Applications, 350(2), 568-589. doi:10.1016/j.jmaa.2008.03.058

N. Bourbaki, Topologie Générale, (Hermann, Paris, 1965).

J. Hejcman, Boundedness in uniform spaces and topological groups, Czechoslovak Mathematical Journal 84 (1959), 544–563.

S. Hu, Boundedness in a topological space, Journal de Mathématiques Pures et Appliquées 28 (1949).

S. Hu, Introduction to General Topology, (Holden-Day, San Francisco, 1966). J. Schmets, Espaces de fonctions continues, Lecture Notes in Mathematics 519 (1976). T. Vroegrijk, Pointwise bornological vector spaces, Topology and its applications, to appear.

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