Fiber product preserving bundle functors on fibered-fibered manifolds

Authors : WLODZIMIERZ M. MIKULSKI

Pages : 719-732

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :We introduce the concept of modified vertical Weil functors on the category $\F_2\M_{m_1,m_2}$ of fibered-fibered manifolds with $insert ignore into journalissuearticles values(m_1,m_2);$-dimensional bases and their local fibered-fibered maps with local fibered diffeomorphisms as base maps. We then describe all fiber product preserving bundle functors on $\F_2\M_{m_1,m_2}$ in terms of modified vertical Weil functors.
Keywords : Weil algebra, Weil functor, vertical Weil functor, Weil algebra bundle functor, modified vertical Weil functor, bundle functor, fiber product preserving bundle functor, natural transformation