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[For the entire collection see Zbl 0699.00032.] Natural transformations of the Weil functor of A-velocities [I. Kolař, 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 into F is finite and is less than or equal to . The spaces of all natural transformations of Weil functors into linear functors of higher order tangent bundles are determined.
Mikulski, Włodzimierz M.. "Natural transformations of Weil functors into bundle functors." Proceedings of the Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1990. [177]-191. <http://eudml.org/doc/221789>.
@inProceedings{Mikulski1990, abstract = {[For the entire collection see Zbl 0699.00032.] Natural transformations of the Weil functor $T^A$ of A-velocities [I. Kolař, 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 $T^A$ into F is finite and is less than or equal to $\dim (F_0\{\mathcal \{R\}\}^k)$. The spaces of all natural transformations of Weil functors into linear functors of higher order tangent bundles are determined.}, author = {Mikulski, Włodzimierz M.}, booktitle = {Proceedings of the Winter School "Geometry and Physics"}, keywords = {Geometry; Physics; Proceedings; Winter school; Srní (Czechoslovakia)}, location = {Palermo}, pages = {[177]-191}, publisher = {Circolo Matematico di Palermo}, title = {Natural transformations of Weil functors into bundle functors}, url = {http://eudml.org/doc/221789}, year = {1990}, }
TY - CLSWK AU - Mikulski, Włodzimierz M. TI - Natural transformations of Weil functors into bundle functors T2 - Proceedings of the Winter School "Geometry and Physics" PY - 1990 CY - Palermo PB - Circolo Matematico di Palermo SP - [177] EP - 191 AB - [For the entire collection see Zbl 0699.00032.] Natural transformations of the Weil functor $T^A$ of A-velocities [I. Kolař, 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 $T^A$ into F is finite and is less than or equal to $\dim (F_0{\mathcal {R}}^k)$. The spaces of all natural transformations of Weil functors into linear functors of higher order tangent bundles are determined. KW - Geometry; Physics; Proceedings; Winter school; Srní (Czechoslovakia) UR - http://eudml.org/doc/221789 ER -