Bundle functors of the jet type

Ivan Kol

E-mail: kolar@math.muni.cz

Abstract. We introduce the general concept of jet functor on the product category $\M_m \times \M$. We describe the extensions of jet functors to the category of fibered manifolds with $m$-dimensional bases and fiber preserving maps with local diffeomorphism as base map.

AMSclassification. 58A20

Keywords. Jet bundle, non-holonomic jet, Weil bundle