Geodesic
On the underlying lower order bundle functors
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 4, pp. 901-916
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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.
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.
Classification : 58A05, 58A20, 58A32
Keywords: bundle functor; Weil bundle; natural transformation 
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     title = {On the underlying lower order bundle functors},
     journal = {Czechoslovak Mathematical Journal},
     pages = {901--916},
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     zbl = {1081.58001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2005_55_4_a6/}
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Doupovec, Miroslav. On the underlying lower order bundle functors. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 4, pp. 901-916. http://geodesic.mathdoc.fr/item/CMJ_2005_55_4_a6/

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