Gutiérrez García, J.; Kubiak, T. (2007). Sandwich-type characterization of completely regular spaces. Applied General Topology. 8(2):239-242. https://doi.org/10.4995/agt.2007.1887
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/83070
Title:
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Sandwich-type characterization of completely regular spaces
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Author:
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Gutiérrez García, Javier
Kubiak, Tomasz
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Issued date:
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Abstract:
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[EN] All the higher separation axioms in topology, except for complete regularity, are known to have sandwich-type characterizations. This note provides a characterization of complete regularity in terms of inserting a ...[+]
[EN] All the higher separation axioms in topology, except for complete regularity, are known to have sandwich-type characterizations. This note provides a characterization of complete regularity in terms of inserting a continuous real-valued function. The known fact that each continuous real valued function on a compact subset o fa Tychonoff space has a continuous extension to the whole space is obtained as a corollary.
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Subjects:
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Insertion
,
Sandwich theorem
,
Insertion theorem
,
Completely regular space
,
Lower semicontinuous
,
Upper semicontinuous
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Compact
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Copyrigths:
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Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
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Source:
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Applied General Topology. (issn:
1576-9402
) (eissn:
1989-4147
)
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DOI:
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10.4995/agt.2007.1887
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Publisher:
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Universitat Politècnica de València
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Publisher version:
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https://doi.org/10.4995/agt.2007.1887
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Project ID:
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info:eu-repo/grantAgreement/MEC//MTM2006-14925-C02-02/ES/METODOS TOPOLOGICOS EN EL ESTUDIO DE FUNCIONES CON VALORES EN DOMINIOS DE COMPUTACION Y (CASI-)UNIFORMIDADES FUZZY./
info:eu-repo/grantAgreement/UPV%2FEHU//UPV05%2F01/
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Thanks:
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This research was supported by the Ministry of Education and Science of Spain and FEDER under grant MTM2006-14925-C02-02.
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Type:
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Artículo
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