. . . "14310" . "14"^^ . "We discuss two kinds of functorial prolongations of the functional bundle of all smooth maps between the fibers over the same base point of two fibered manifolds over the same base. We study the prolongation of vector fields in both cases and we prove that the bracket is preserved. Our proof is based on several new results concerning the finite dimensional Weil bundles." . . . "Funktori\u00E1ln\u00ED prodlu\u017Eov\u00E1n\u00ED n\u011Bkter\u00FDch funk\u010Dn\u00EDch bandl\u016F"@cs . . "PL - Polsk\u00E1 republika" . "Jsou studov\u00E1ny dva druhy funktori\u00E1ln\u00EDho prodlou\u017Een\u00ED bandlu hladk\u00FDch zobrazen\u00ED mezi fibrov\u00FDmi bandly. Prodlou\u017Een\u00ED vektorov\u00FDch pol\u00ED jsou studov\u00E1na v obou p\u0159\u00EDpadech a je dok\u00E1z\u00E1no, \u017Ee je zachov\u00E1na Lieova z\u00E1vorka vektorov\u00FDch pol\u00ED. D\u016Fkazy jsou zalo\u017Eeny na n\u011Bkolika nov\u00FDch v\u00FDsledc\u00EDch z teorie kone\u010Dn\u011Bdimension\u00E1ln\u00EDch Weilov\u00FDch bandl\u016F."@cs . "[FD21C638B139]" . . . "Z(MSM 143100009)" . "Kol\u00E1\u0159, Ivan" . "Functorial prolongation of some functional bundles" . "2004" . "3"^^ . "RIV/00216224:14310/04:00011095" . . "565010" . "Funktori\u00E1ln\u00ED prodlu\u017Eov\u00E1n\u00ED n\u011Bkter\u00FDch funk\u010Dn\u00EDch bandl\u016F"@cs . . . "Cabras, Antonela" . "3"^^ . "Cabras, Antonela" . . "Functorial prolongation of some functional bundles"@en . . "We discuss two kinds of functorial prolongations of the functional bundle of all smooth maps between the fibers over the same base point of two fibered manifolds over the same base. We study the prolongation of vector fields in both cases and we prove that the bracket is preserved. Our proof is based on several new results concerning the finite dimensional Weil bundles."@en . "1" . "Functorial prolongation of some functional bundles"@en . . "Annales Academiae Paedagogicae Cracoviensis, Studia Mathematica IV" . "Functorial prolongation of some functional bundles" . "functional bundle; prolongational functor"@en . . "1643-6555" . "17-30" . "RIV/00216224:14310/04:00011095!RIV08-MSM-14310___" . "Jany\u0161ka, Josef" .