On the underlying lower order bundle functors. (English) Zbl 1081.58001

Summary: For every bundle functor we introduce the concept of subordinated functor. Then we describe subordinated functors for fiber product preserving functors defined on the category of fibered manifolds with \(m\)-dimensional bases and fibered manifold morphisms with local diffeomorphisms as base maps. In this case we also introduce the concept of the underlying functor. We show that there is an affine structure on fiber product preserving functors.


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