"1" . . . . "521594" . . "Filling Analytic Sets by the Derivatives of C1-Smooth Bumps"@en . . . "Jestli\u017Ee je X nekone\u010Dn\u011B rozm\u011Brn\u00FD Banach\u016Fv prostor se separabiln\u00EDm du\u00E1lem a M.. X.alpha. je analytick\u00E1 takov\u00E1, \u017Ee ka\u017Ed\u00FD bod X* .. M se d\u00E1 dos\u00E1hnout z po\u010D\u00E1tku spojitou cestou le\u017E\u00EDc\u00ED (krom\u011B bodu X*) ve vnit\u0159ku M, pak M je obrazem derivace vhodn\u00E9 C1-hladk\u00E9 funkce na X s omezen\u00FDm nepr\u00E1zdn\u00FDm nosi\u010Dem."@cs . . "If X is an infinite-dimensional Banach space, with separable dual, and M subset of dual is an analytic set such that any point x* ... M can be reached from 0 by a continuous path contained (except for the point x*) in the interior of M, then M is the range of the derivative of a C1-smooth function on X with bounded nonempty support."@en . "0002-9939" . "[6507F1BF7584]" . "133" . . . "RIV/67985840:_____/05:00022886!RIV06-AV0-67985840" . "RIV/67985840:_____/05:00022886" . . "If X is an infinite-dimensional Banach space, with separable dual, and M subset of dual is an analytic set such that any point x* ... M can be reached from 0 by a continuous path contained (except for the point x*) in the interior of M, then M is the range of the derivative of a C1-smooth function on X with bounded nonempty support." . "Fabian, Mari\u00E1n" . . "C1-smooth bump; separable dual Banach space; analytic set"@en . "Vypl\u0148ov\u00E1n\u00ED analytick\u00FDch mno\u017Ein derivacemi C1-hladk\u00FDch funkc\u00ED"@cs . . . "Vypl\u0148ov\u00E1n\u00ED analytick\u00FDch mno\u017Ein derivacemi C1-hladk\u00FDch funkc\u00ED"@cs . "Kalenda, O. F. K." . "295;303" . . . . "Kol\u00E1\u0159, J." . "Proceedings of the American Mathematical Society" . . "Filling Analytic Sets by the Derivatives of C1-Smooth Bumps" . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "P(GA201/00/1466), P(GA201/01/1198), P(GP201/02/D111), P(IAA1019003), P(IAA1019301), Z(AV0Z10190503), Z(MSM 113200007)" . "Filling Analytic Sets by the Derivatives of C1-Smooth Bumps" . . "3"^^ . "Filling Analytic Sets by the Derivatives of C1-Smooth Bumps"@en . . . . "1"^^ . "9"^^ .