Bundle functors with the point property which admit prolongation of connections

W. M. Mikulski. "Bundle functors with the point property which admit prolongation of connections." Annales Polonici Mathematici 97.3 (2010): 253-256. <http://eudml.org/doc/280885>.

@article{W2010,
abstract = {Let F:ℳ f →ℱℳ be a bundle functor with the point property F(pt) = pt, where pt is a one-point manifold. We prove that F is product preserving if and only if for any m and n there is an $ℱℳ _\{m,n\}$-canonical construction D of general connections D(Γ) on Fp:FY → FM from general connections Γ on fibred manifolds p:Y → M.},
author = {W. M. Mikulski},
journal = {Annales Polonici Mathematici},
keywords = {general connection; natural operator},
language = {eng},
number = {3},
pages = {253-256},
title = {Bundle functors with the point property which admit prolongation of connections},
url = {http://eudml.org/doc/280885},
volume = {97},
year = {2010},
}

TY - JOUR
AU - W. M. Mikulski
TI - Bundle functors with the point property which admit prolongation of connections
JO - Annales Polonici Mathematici
PY - 2010
VL - 97
IS - 3
SP - 253
EP - 256
AB - Let F:ℳ f →ℱℳ be a bundle functor with the point property F(pt) = pt, where pt is a one-point manifold. We prove that F is product preserving if and only if for any m and n there is an $ℱℳ _{m,n}$-canonical construction D of general connections D(Γ) on Fp:FY → FM from general connections Γ on fibred manifolds p:Y → M.
LA - eng
KW - general connection; natural operator
UR - http://eudml.org/doc/280885
ER -