Warped compact foliations

• Autorzy: Szymon M. Walczak
• Języki publikacji: EN

Abstrakty

EN

The notion of the Hausdorffized leaf space $\widetilde{𝓛}$ of a foliation is introduced. A sufficient condition for warped compact foliations to converge to $\widetilde{𝓛}$ is given. Moreover, a necessary condition for warped compact Hausdorff foliations to converge to $\widetilde{𝓛}$ is shown. Finally, some examples are examined.

Kategorie tematyczne

• 53C12: Foliations (differential geometric aspects)
• 57R30: Foliations; geometric theory
• 54A20: Convergence in general topology (sequences, filters, limits, convergence spaces, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2008
• Tom: 94
• Numer: 3
• Strony: 231-243

Daty

wydano

2008

Twórcy

autor

Szymon M. Walczak

• Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź, Poland

Identyfikatory

DOI

10.4064/ap94-3-3