The monad of the uniform structure and its applications (Q2774223)

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scientific article; zbMATH DE number 1713502
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The monad of the uniform structure and its applications
scientific article; zbMATH DE number 1713502

    Statements

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    1 May 2003
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    uniform structure
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    Cauchy net
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    monad
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    small sets
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    The monad of the uniform structure and its applications (English)
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    The monads of product uniform structures are characterized. The nonstandard characterizations of Cauchy nets and the family of sets including small sets are presented by the monads of uniform structures. As applications, some important theorems about products of uniform spaces are proved by the results above.
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