Abstract tangent functors
J. Rosický (1984)
Diagrammes
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Displaying similar documents to “Product preserving bundle functors on fibered fibered manifolds”
Abstract tangent functors
On involutions of iterated bundle functors
Miroslav Doupovec, Włodzimierz M. Mikulski (2006)
Colloquium Mathematicae
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We introduce the concept of an involution of iterated bundle functors. Then we study the problem of the existence of an involution for bundle functors defined on the category of fibered manifolds with m-dimensional bases and of fibered manifold morphisms covering local diffeomorphisms. We also apply our results to prolongation of connections.
There exists a prolongation functor of infinite order
Włodzimierz M. Mikulski (1989)
Časopis pro pěstování matematiky
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Bundle functors on all foliated manifold morphisms have locally finite order
J. Kurek, W. M. Mikulski (2008)
Annales Polonici Mathematici
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We prove that any bundle functor F:ℱol → ℱℳ on the category ℱ olof all foliated manifolds without singularities and all leaf respecting maps is of locally finite order.
On the geometric functors on manifolds
Kolář, Ivan, Slovák, Jan
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Product preserving bundle functors on fibered manifolds
Włodzimierz M. Mikulski (1996)
Archivum Mathematicum
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The complete description of all product preserving bundle functors on fibered manifolds in terms of natural transformations between product preserving bundle functors on manifolds is given.
Fiber product preserving bundle functors on all morphisms of fibered manifolds
Ivan Kolář, Włodzimierz M. Mikulski (2006)
Archivum Mathematicum
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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 -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.