Uniform Sheaves and Differential Equations

Yves André

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Displaying similar documents to “Uniform Sheaves and Differential Equations”

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.

On uniform Dini derivatives

N. C. Manna (1970)

Colloquium Mathematicae

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Uniform boundedness of a family of exhaustive set functions

E. Pap (1976)

Matematički Vesnik

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Finite dimensional covers of metric-fine spaces

Michael David Rice (1977)

Czechoslovak Mathematical Journal

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The inner structure of real extensors in uniform spaces

Vilímovský, J.

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Uniform G-Convexity for Vector-Valued Lp Spaces

Boyko, Nataliia, Kadets, Vladimir (2009)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 46B20. Uniform G-convexity of Banach spaces is a recently introduced natural generalization of uniform convexity and of complex uniform convexity. We study conditions under which uniform G-convexity of X passes to the space of X-valued functions Lp (m,X).

On completions of proximity and uniform spaces

Don A. Mattson (1977)

Colloquium Mathematicae

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Uniform Space

Roland Coghetto (2016)

Formalized Mathematics

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In this article, we formalize in Mizar [1] the notion of uniform space introduced by André Weil using the concepts of entourages [2]. We present some results between uniform space and pseudo metric space. We introduce the concepts of left-uniformity and right-uniformity of a topological group. Next, we define the concept of the partition topology. Following the Vlach’s works [11, 10], we define the semi-uniform space induced by a tolerance and the uniform space induced by an equivalence...