- Turkish Journal of Mathematics
- Vol: 39 Issue: 5
- Fiber product preserving bundle functors on fibered-fibered manifolds
Fiber product preserving bundle functors on fibered-fibered manifolds
Authors : Wlodzimierz M. Mikulski
Pages : 719-732
View : 9 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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 $(m_1,m_2)$-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