Ivan Kolar, Department of Algebra and Geometry, Masaryk University, Janackovo nam. 2a, 662 95 Brno, Czech Republic
E-mail: doupovec@mat.fme.vutbr.cz, kolar@math.muni.cz
Abstract. Given a map of a product of two manifolds into a third one, one can define its jets of separated orders $r$ and $s$. We study the functor $J^{r;s}$ of separated $(r;s)$-jets. We determine all natural transformations of $J^{r;s}$ into itself and we characterize the canonical exchange $J^{r;s}\to J^{s;r}$ from the naturality point of view.
AMSclassification. 58A2
Keywords. Separated jet, canonical exchange, natural transformation