On the fiber product preserving gauge bundle functors on vector bundles. (English) Zbl 1126.58300

Mikulski, Włodzimierz M.

Ann. Pol. Math. 82, No. 3, 251-264 (2003).

Summary: We present a complete description of all fiber product preserving gauge bundle functors \(F\) on the category \({\mathcal V}{\mathcal B}_m\) of vector bundles with \(m\)-dimensional bases and vector bundle maps with local diffeomorphisms as base maps. Some corollaries of this result are presented.

MSC:

58A05	Differentiable manifolds, foundations
58A20	Jets in global analysis

Keywords:

(fiber product preserving) gauge bundle functors; natural transformations; jets; Weil algebras