The range of the gradient of a continuously differentiable bump (Q2720300)

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scientific article; zbMATH DE number 1610947
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The range of the gradient of a continuously differentiable bump
scientific article; zbMATH DE number 1610947

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    16 September 2002
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    Darboux theorem
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    smooth bump
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    gradient of a continuously differentiable bump
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    smooth boundedly supported function
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    The range of the gradient of a continuously differentiable bump (English)
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    The authors discuss a few properties of a smooth boundedly supported function on a Banach space in the spirit of the Darboux theorem and its generalization by \textit{Jan Malýr} [Real Anal. Exch. 22, No. 1, 167-173 (1996; Zbl 0879.26042)].
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