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[For the entire collection see Zbl 0699.00032.] \par Natural transformations of the Weil functor $T\sp A$ of A-velocities [{\it I. Kola\v{r}}, Commentat. Math. Univ. Carol. 27, 723-729 (1986; Zbl 0603.58001)] into an arbitrary bundle functor F are characterized. In the case where F is a linear bundle functor, the author deduces that the dimension of the vector space of all natural transformations of $T\sp A$ into F is finite and is less than or equal to $\dim (F\sb 0{\mathcal{R}}\sp k)$. The spaces of all natural transformations of Weil functors into linear functors of higher order tangent bundles are determined. (English) |
