The inner structure of real extensors in uniform spaces
Vilímovský, J.
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Displaying similar documents to “Uniform approximation theorems for real-valued continuous functions.”
The inner structure of real extensors in uniform spaces
Variations of uniform completeness related to realcompactness
Miroslav Hušek (2017)
Commentationes Mathematicae Universitatis Carolinae
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Various characterizations of realcompactness are transferred to uniform spaces giving non-equivalent concepts. Their properties, relations and characterizations are described in this paper. A Shirota-like characterization of certain uniform realcompactness proved by Garrido and Meroño for metrizable spaces is generalized to uniform spaces. The paper may be considered as a unifying survey of known results with some new results added.
Uniformly continuous selections
Vilímovský, J.
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J. Vilímovský (1987)
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On uniform Dini derivatives
N. C. Manna (1970)
Colloquium Mathematicae
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Extensions of uniform structures
T. Gantner (1970)
Fundamenta Mathematicae
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Equicontinuity, shadowing and distality in general topological spaces
Huoyun Wang (2020)
Czechoslovak Mathematical Journal
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We consider the notions of equicontinuity point, sensitivity point and so on from a topological point of view. Many of these notions can be sensibly defined either in terms of (finite) open covers or uniformities. We show that for the notions of equicontinuity point and sensitivity point, Hausdorff or uniform versions coincide in compact Hausdorff spaces and are equivalent to the standard definitions stated in terms of a metric in compact metric spaces. We prove that a uniformly chain...