Non-existence of natural operators transforming connections on $Y\to M$ into connections on $FY\to Y$

Mikulski, Włodzimierz M.. "Non-existence of natural operators transforming connections on $Y \rightarrow M$ into connections on $FY\rightarrow Y$." Archivum Mathematicum 041.1 (2005): 1-4. <http://eudml.org/doc/249493>.

@article{Mikulski2005,
abstract = {Under some weak assumptions on a bundle functor $F:FM_\{m,n\}\rightarrow FM$ we prove that there is no $FM_\{m,n\}$-natural operator transforming connections on $Y\rightarrow M$ into connections on $FY\rightarrow Y$.},
author = {Mikulski, Włodzimierz M.},
journal = {Archivum Mathematicum},
keywords = {bundle functors; natural bundles; natural operators; connections; bundle functors; natural bundles; natural operators},
language = {eng},
number = {1},
pages = {1-4},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Non-existence of natural operators transforming connections on $Y \rightarrow M$ into connections on $FY\rightarrow Y$},
url = {http://eudml.org/doc/249493},
volume = {041},
year = {2005},
}

TY - JOUR
AU - Mikulski, Włodzimierz M.
TI - Non-existence of natural operators transforming connections on $Y \rightarrow M$ into connections on $FY\rightarrow Y$
JO - Archivum Mathematicum
PY - 2005
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 041
IS - 1
SP - 1
EP - 4
AB - Under some weak assumptions on a bundle functor $F:FM_{m,n}\rightarrow FM$ we prove that there is no $FM_{m,n}$-natural operator transforming connections on $Y\rightarrow M$ into connections on $FY\rightarrow Y$.
LA - eng
KW - bundle functors; natural bundles; natural operators; connections; bundle functors; natural bundles; natural operators
UR - http://eudml.org/doc/249493
ER -