Smooth approximations without critical p
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Petr Hรกjek; Michal Johanis
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Article
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2003
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SP Versita
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English
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In any separable Banach space containing c 0 which admits a C k -smooth bump, every continuous function can be approximated by a C k -smooth function whose range of derivative is of the rst category. Moreover, the approximation can be constructed in such a way that its derivative avoids a prescribed