Pseudogroups in premanifolds

• Autorzy: Lipińska J.
• Języki publikacji: EN

Abstrakty

EN

In [1] it was proved that the set of all diffeomorphisms of a quasi-algebraic space which was introduced by W. Waliszewski is the Ehresmann’s pseudogroup. Proving this theorem we did not use properties of a quasi-algebraic space, so it was possible to generalize this theorem and formulate it for any set of functions. It was noticed in [2]. The concept of an analytical premanifold was introduced by Waliszewski in [3]. In [4] he also called it a general differential space. In this paper we show how to use the above theorem in analytical premanifolds.

Słowa kluczowe

EN

pseudogroups; differential spaces; analytical premanifolds

PL

pseudogrupy

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2002
• Tom: Vol. 1, nr 1
• Strony: 93--95
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Lipińska J.

• Institute of Mathematics and Computer Science, Technical University of Częstochowa

Bibliografia

• [1] Lipińska J., Diffeomorphisms of quasi-algebraic spaces, Demonstratio Math. 1986, 19, 139-151.
• [2] Lipińska J., On some charakterization of Ehresmann’s pseudogrup, ZN Pol. Śląskiej Mat.-Fiz. 1997, 82, 147-150.
• [3] Walliszewski W., Analytical premanifolds, ZN Pol. Śląskiej Mat.-Fiz. 1986, 48, 217-226.
• [4] Walliszewski W., Inducing and coinducing in general differentical spaces, Demonstratio Math. 24(1991), 657-664.