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bundle functors; natural transformations; natural affinors
Let $r,s,q, m,n\in \Bbb N$ be such that $s\geq r\leq q$. Let $Y$ be a fibered manifold with $m$-dimensional basis and $n$-dimensional fibers. All natural affinors on $(J^{r,s,q}(Y,\Bbb R^{1,1})_0)^*$ are classified. It is deduced that there is no natural generalized connection on \linebreak $(J^{r,s,q}(Y,\Bbb R^{1,1})_0)^*$. Similar problems with $(J^{r,s}(Y,\Bbb R)_0)^*$ instead of $(J^{r,s,q}(Y,\Bbb R^{1,1})_0)^*$ are solved.
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