Iteration of Fiber Product Preserving Bundle Functors

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Authors

KOLÁŘ Ivan DOUPOVEC Miroslav

Year of publication 2001
Type Article in Periodical
Magazine / Source Monatsh. Math.
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords bundle functor; Weil bundle; jet bundle; natural transformation
Description Using the theory of Weil algebras, we describe the composition of two product preserving bundle functors on the category of fibered manifolds with m-dimensional bases and fiber preserving maps with local diffeomorphisms as base maps. Then we deduce certain interesting geometric properties of the natural transformations of some of the iterated functors.
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