Weilian prolongations of actions of smooth categories

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Authors

KOLÁŘ Ivan

Year of publication 2008
Type Article in Periodical
Magazine / Source Archivum Mathematicum (Brno)
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Weil bundle; fiber product preserving bundle functor; action of smooth category
Description First we find some further properties of fiber product preserving bundle functors on the category of fibered manifolds in terms of an infinite sequence of Weil algebras and a double sequence of their homomorphisms. Then we introduce the general concept of Weilian prolongation of a smooth category over natural numbers and of its action and we deduce some their geometric properties.
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