On the multitude of monoidal closed structures on \(\mathcal{UAP}\). (Q1426519)

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scientific article; zbMATH DE number 2056855
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English
On the multitude of monoidal closed structures on \(\mathcal{UAP}\).
scientific article; zbMATH DE number 2056855

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    On the multitude of monoidal closed structures on \(\mathcal{UAP}\). (English)
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    14 March 2004
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    The main result of the paper is that every compact Hausdorff topological space, viewed as a uniform approach object, is exponential in the category of uniform approach spaces and contractions. The results of the paper are interesting. The proofs of the results contain nice techniques. The results may be applicable to many cases of general interest.
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    uniform approach space
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    exponential object
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    monoidal closed structure
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    compact Hausdorff space
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    non-measurable cardinal
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    rigid class
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