Product preserving bundle functors on fibered fibered manifolds

Włodzimierz M. Mikulski, and Jiří M. Tomáš. "Product preserving bundle functors on fibered fibered manifolds." Colloquium Mathematicae 96.1 (2003): 17-26. <http://eudml.org/doc/284533>.

@article{WłodzimierzM2003,
abstract = {We investigate the category of product preserving bundle functors defined on the category of fibered fibered manifolds. We show a bijective correspondence between this category and a certain category of commutative diagrams on product preserving bundle functors defined on the category ℳ f of smooth manifolds. By an application of the theory of Weil functors, the latter category is considered as a category of commutative diagrams on Weil algebras. We also mention the relation with natural transformations between product preserving bundle functors on the category of fibered manifolds.},
author = {Włodzimierz M. Mikulski, Jiří M. Tomáš},
journal = {Colloquium Mathematicae},
keywords = {bundle functor; natural operator; vector field; Weil bundle},
language = {eng},
number = {1},
pages = {17-26},
title = {Product preserving bundle functors on fibered fibered manifolds},
url = {http://eudml.org/doc/284533},
volume = {96},
year = {2003},
}

TY - JOUR
AU - Włodzimierz M. Mikulski
AU - Jiří M. Tomáš
TI - Product preserving bundle functors on fibered fibered manifolds
JO - Colloquium Mathematicae
PY - 2003
VL - 96
IS - 1
SP - 17
EP - 26
AB - We investigate the category of product preserving bundle functors defined on the category of fibered fibered manifolds. We show a bijective correspondence between this category and a certain category of commutative diagrams on product preserving bundle functors defined on the category ℳ f of smooth manifolds. By an application of the theory of Weil functors, the latter category is considered as a category of commutative diagrams on Weil algebras. We also mention the relation with natural transformations between product preserving bundle functors on the category of fibered manifolds.
LA - eng
KW - bundle functor; natural operator; vector field; Weil bundle
UR - http://eudml.org/doc/284533
ER -