Fiber product preserving bundle functors on fibered-fibered manifolds

Authors

WLODZIMIERZ M. MIKULSKI

DOI

10.3906/mat-1504-43

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

First Page

719

Last Page

732

Recommended Citation

MIKULSKI, WLODZIMIERZ M. (2015) "Fiber product preserving bundle functors on fibered-fibered manifolds," Turkish Journal of Mathematics: Vol. 39: No. 5, Article 10. https://doi.org/10.3906/mat-1504-43
Available at: https://journals.tubitak.gov.tr/math/vol39/iss5/10