On Subcartesian Spaces Leibniz’ Rule Implies the Chain Rule
Canadian mathematical bulletin, Tome 63 (2020) no. 2, pp. 348-357
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We show that derivations of the differential structure of a subcartesian space satisfy the chain rule and have maximal integral curves.
Mots-clés :
subcartesian differential space, derivation of differential structure, integral curve of derivation
Cushman, Richard; Śniatycki, Jędrzej. On Subcartesian Spaces Leibniz’ Rule Implies the Chain Rule. Canadian mathematical bulletin, Tome 63 (2020) no. 2, pp. 348-357. doi: 10.4153/S0008439519000407
@article{10_4153_S0008439519000407,
author = {Cushman, Richard and \'Sniatycki, J\k{e}drzej},
title = {On {Subcartesian} {Spaces} {Leibniz{\textquoteright}} {Rule} {Implies} the {Chain} {Rule}},
journal = {Canadian mathematical bulletin},
pages = {348--357},
year = {2020},
volume = {63},
number = {2},
doi = {10.4153/S0008439519000407},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000407/}
}
TY - JOUR AU - Cushman, Richard AU - Śniatycki, Jędrzej TI - On Subcartesian Spaces Leibniz’ Rule Implies the Chain Rule JO - Canadian mathematical bulletin PY - 2020 SP - 348 EP - 357 VL - 63 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000407/ DO - 10.4153/S0008439519000407 ID - 10_4153_S0008439519000407 ER -
%0 Journal Article %A Cushman, Richard %A Śniatycki, Jędrzej %T On Subcartesian Spaces Leibniz’ Rule Implies the Chain Rule %J Canadian mathematical bulletin %D 2020 %P 348-357 %V 63 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000407/ %R 10.4153/S0008439519000407 %F 10_4153_S0008439519000407
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