On strongly Hausdorff flows

• Autorzy: Hiromichi Nakayama
• Języki publikacji: EN

Abstrakty

EN

A flow of an open manifold is very complicated even if its orbit space is Hausdorff. In this paper, we define the strongly Hausdorff flows and consider their dynamical properties in terms of the orbit spaces. By making use of this characterization, we finally classify all the strongly Hausdorff $C^1$-flows.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1996
• Tom: 149
• Numer: 2
• Strony: 167-170

Daty

wydano

1996

otrzymano

1995-02-25

poprawiono

1995-10-20

Twórcy

autor

Hiromichi Nakayama

• Faculty of Integrated Arts and Sciences, Hiroshima University, Higashi-Hiroshima, 739, Japan

Bibliografia

• [1] D. B. A. Epstein, Foliations with all leaves compact, Ann. Inst. Fourier (Grenoble) 26 (1) (1976), 265-282.
• [2] M. C. Irwin, Smooth Dynamical Systems, Academic Press, London, 1980.
• [3] H. Nakayama, Some remarks on non-Hausdorff sets for flows, in: Geometric Study of Foliations, World Scientific, Singapore, 1994, 425-429.
• [4] E. Vogt, A foliation of $ℝ^3$ and other punctured 3-manifolds by circles, I.H.E.S. Publ. Math. 69 (1989), 215-232.