Fiber product preserving bundle functors on all morphisms of fibered manifolds

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Authors

KOLÁŘ Ivan MIKULSKI Wlodzimierz

Year of publication 2006
Type Article in Periodical
Magazine / Source Archivum Mathematicum
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords fiber product preserving bundle functor; Weil algebra; r-jet
Description We describe the fiber product preserving bundle functors on the category of all morphisms of fibered manifolds in terms of infinite sequences of Weil algebras and actions of the skeleton of the category of r-jets by algebra homomorphisms. We deduce an explicit formula for the iteration of two such functors. We characterize the functors with values in vector bundles.
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