There exists a bundle functor of jet bundle type of infinite order in the first factor

• Autorzy: Mikulski W.
• Języki publikacji: PL

Abstrakty

EN

It is known a complete description of all bundle functors on Mfm x Mf of finite order in the first factor. The most known example of such a bundle functor is the r-jet bundle functor Jr on Mfm x Mf. In the present note an example of a bundle functor on Mfm x Mf of (essentially) infinite order in the first factor is constructed.

Słowa kluczowe

PL

funktory; dzielnik pierwszy; operatory naturalne

EN

bundle functor; natural operators; natural transformation

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 4
• Strony: 961--964
• Opis fizyczny: Bibliogr. 2 poz.

Twórcy

autor

Mikulski W.

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

Bibliografia

• [1] I. Kolář et all, Natural Operations in Differential Geometry, Springer-Verlag, Berlin 1993.
• [2] I. Kolář, W. M. Mikulski, On the fiber product preserving bundle functors, Diff. Geom. Appl. 11 (1999), 105-115.