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	KOLÁŘ, Ivan and Miroslav DOUPOVEC. Iteration of Fiber Product Preserving Bundle Functors. Monatsh. Math. Wien: Springer-Verlag, 2001, vol. 134, No 1, p. 39-50. ISSN 0026-9255.
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.
Related projects:	Differential geometry of higher order Mathematical structures of algebra and geometry