Geodesic
The natural affinors on some fiber product preserving gauge bundle functors of vector bundles
Archivum mathematicum, Tome 42 (2006) no. 1, pp. 59-67

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We classify all natural affinors on vertical fiber product preserving gauge bundle functors $F$ on vector bundles. We explain this result for some more known such $F$. We present some applications. We remark a similar classification of all natural affinors on the gauge bundle functor $F^*$ dual to $F$ as above. We study also a similar problem for some (not all) not vertical fiber product preserving gauge bundle functors on vector bundles.
Classification : 58A20, 58A32
Keywords: gauge bundle functors; natural operators; natural transformations; natural affinors; jets 
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     author = {Kurek, Jan and Mikulski, W{\l}odzimierz M.},
     title = {The natural affinors on some fiber product preserving gauge bundle functors of vector bundles},
     journal = {Archivum mathematicum},
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     publisher = {mathdoc},
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     number = {1},
     year = {2006},
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     zbl = {1164.58302},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2006__42_1_a6/}
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Kurek, Jan; Mikulski, Włodzimierz M. The natural affinors on some fiber product preserving gauge bundle functors of vector bundles. Archivum mathematicum, Tome 42 (2006) no. 1, pp. 59-67. http://geodesic.mathdoc.fr/item/ARM_2006__42_1_a6/