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## Product preserving bundle functors on fibered fibered manifolds

### Tom 96 / 2003

Colloquium Mathematicum 96 (2003), 17-26 MSC: 58A05, 58A20. DOI: 10.4064/cm96-1-3

#### Streszczenie

We investigate the category of product preserving bundle functors defined on the category of fibered fibered manifolds. We show a bijective correspondence between this category and a certain category of commutative diagrams on product preserving bundle functors defined on the category ${\cal M}f$ of smooth manifolds. By an application of the theory of Weil functors, the latter category is considered as a category of commutative diagrams on Weil algebras. We also mention the relation with natural transformations between product preserving bundle functors on the category of fibered manifolds.

#### Autorzy

• Włodzimierz M. MikulskiInstitute of Mathematics
Jagiellonian University
Reymonta 4
30-059 Kraków, Poland
e-mail
• Jiří M. TomášDepartment of Mathematics
Faculty of Chemistry
Technical University Brno
Purkyňova 118
600 00 Brno, Czech Republic
e-mail

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