Sanchis, M. (2017). Extension of $b_f$-continuous functions defined on a product of $b_f$-groups. En Proceedings of the Workshop on Applied Topological Structures. Editorial Universitat Politècnica de València. 113-118. http://hdl.handle.net/10251/128035
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/128035
Title:
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Extension of $b_f$-continuous functions defined on a product of $b_f$-groups
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Author:
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Sanchis, Manuel
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Issued date:
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Abstract:
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[EN] Let X be a bf -space and let G be a bf -group. By means of the exponential mapping we characterize when a bf -continuous function on X × G with values in a topologically complete sapce Z has a bf -continuous extension ...[+]
[EN] Let X be a bf -space and let G be a bf -group. By means of the exponential mapping we characterize when a bf -continuous function on X × G with values in a topologically complete sapce Z has a bf -continuous extension to β(X) × G. As a consequence we show that the product of a pseudocompact space and a bf -group is a bf -group. This result generalizes the fact that the product of a pseudocompact space and a pseudocompact group is pseudocompact.
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Subjects:
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bf -space
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bf -group
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bf -continuous function
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Stone-Cech compactification
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Dieudonné topological completion
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Topologically complete space
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Copyrigths:
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Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
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ISBN:
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9788490485996
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Source:
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Proceedings of the Workshop on Applied Topological Structures.
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Publisher:
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Editorial Universitat Politècnica de València
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Publisher version:
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http://ocs.editorial.upv.es/index.php/WATS/WATS17/paper/view/6707
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Conference name:
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Workshop Applied Topological Structures WATS'17
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Conference place:
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Valencia, Spain
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Conference date:
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Julio 11-12, 2017
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Project ID:
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info:eu-repo/grantAgreement/MINECO//MTM2015-64373-P/ES/HIPERESPACIOS, ESTRUCTURAS DIFUSAS Y ASIMETRICAS. APLICACIONES A CIENCIA DE LA COMPUTACION Y AL FILTRADO DE IMAGENES./
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Thanks:
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This research is supported by the Spanish Ministry of Economy and Competitiveness under Grant MTM2015-64373-P (MINECO/FEDER, UE).
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Type:
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Capítulo de libro
Comunicación en congreso
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