Weilian prolongations of actions of smooth categories
| Authors | |
|---|---|
| Year of publication | 2008 |
| Type | Article in Periodical |
| Magazine / Source | Archivum Mathematicum (Brno) |
| MU Faculty or unit | |
| 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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