Product preserving bundle functors on fibered fibered manifolds
Volume 96 / 2003
Colloquium Mathematicum 96 (2003), 17-26
MSC: 58A05, 58A20.
DOI: 10.4064/cm96-1-3
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 ${\cal M}f$ 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.
