Fine topology in potential theory and strict maxima of functions (Q1110684)

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scientific article; zbMATH DE number 4073406
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Fine topology in potential theory and strict maxima of functions
scientific article; zbMATH DE number 4073406

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    Fine topology in potential theory and strict maxima of functions (English)
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    1987
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    The purpose of the present note is to prove the following Theorem: For an arbitrary Borel measurable function f: \({\mathbb{R}}^ m\to {\mathbb{R}}\), the set M(f) is polar. - For an arbitrary function f, a similar result is established for strong fine maxima.
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    fine topology
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    Borel measurable function
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    polar
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    strong fine maxima
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