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 $J$ of separated $(r;s)$-jets. We determine all natural transformations of $J$ into itself and we characterize the canonical exchange $J\rightarrow J^{s;r}$ from the naturality point of view.
@article{107744,
author = {Miroslav Doupovec and Ivan Kol\'a\v r},
title = {Natural transformations of separated jets},
journal = {Archivum Mathematicum},
volume = {036},
year = {2000},
pages = {297-303},
zbl = {1049.58008},
mrnumber = {1811174},
language = {en},
url = {http://dml.mathdoc.fr/item/107744}
}
Doupovec, Miroslav; Kolář, Ivan. Natural transformations of separated jets. Archivum Mathematicum, Tome 036 (2000) pp. 297-303. http://gdmltest.u-ga.fr/item/107744/
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