Product preserving bundle functors on fibered fibered manifolds

• Autorzy: Włodzimierz M. Mikulski , Jiří M. Tomáš
• Języki publikacji: EN

Abstrakty

EN

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 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.

Kategorie tematyczne

• 58A05: Differentiable manifolds, foundations
• 58A20: Jets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 96
• Numer: 1
• Strony: 17-26

Daty

wydano

2003

Twórcy

autor

Włodzimierz M. Mikulski

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

autor

Jiří M. Tomáš

• Department of Mathematics, Faculty of Chemistry, Technical University Brno, Purkyňova 118, 600 00 Brno, Czech Republic

Identyfikatory

DOI

10.4064/cm96-1-3