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A predicative completion of a uniform space - MaRDI portal

A predicative completion of a uniform space (Q424538)

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scientific article; zbMATH DE number 6040325
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A predicative completion of a uniform space
scientific article; zbMATH DE number 6040325

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    A predicative completion of a uniform space (English)
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    1 June 2012
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    In this contribution to the constructive theory of uniform spaces, having pointed out their perceived problems with the Bridges-Vîţă notion of \textit{uniform space}, the authors introduce a new, predicative notion, built on a base of entourages. They then show how, in the subsystem CZF\(^{-}\) of the constructive set theory CZF, one can construct a completion of their kind of uniform space.
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    constructive mathematics
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    uniform space
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    completion
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    constructive set theory
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