On foliations in Sikorski differential spaces with Brouwerian leaves

• Autorzy: Włodzimierz Waliszewski
• Języki publikacji: EN

Abstrakty

EN

The class of locally connected and locally homeomorphically homogeneous topological spaces such that every one-to-one continuous mapping of an open subspace into the space is open has been considered. For a foliation F [3] on a Sikorski differential space M with leaves having the above properties it is proved that for some open sets U in M covering the set of all points of M the connected components of U ∩ L̲ in the topology of M coincide with the connected components in the topology of L for L∈ F.

Kategorie tematyczne

• 53C12: Foliations (differential geometric aspects)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991
• Tom: 54
• Numer: 2
• Strony: 179-182

Daty

wydano

1991

otrzymano

1989-12-11

Twórcy

autor

Włodzimierz Waliszewski

• Institute of Mathematics, Polish Academy of Sciences, Łódź Branch, Narutowicza 56, 90-136 Łódź, Poland

Bibliografia

• [1] R. Sikorski, Abstract covariant derivative, Colloq. Math. 18 (1967), 251-272.
• [2] W. Waliszewski, Regular and coregular mappings of differential spaces, Ann. Polon. Math. 30 (1975), 263-281.
• [3] W. Waliszewski, Foliations of differential spaces, Demonstratio Math. 18 (1) (1985), 347-352.