Fiber product preserving bundle functors on fibered-fibered manifolds

We introduce the concept of modified vertical Weil functors on the category $\F_2\M_{m_1,m_2}$ of fibered-fibered manifolds with $(m_1,m_2)$-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.

Anahtar Kelimeler:

Weil algebra, Weil functor, vertical Weil functor, Weil algebra bundle functor, modified vertical Weil functor, bundle functor, fiber product preserving bundle functor, natural transformation

Fiber product preserving bundle functors on fibered-fibered manifolds

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,

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