On strongly Hausdorff flows

Hiromichi Nakayama

Fundamenta Mathematicae (1996)

  • Volume: 149, Issue: 2, page 167-170
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Nakayama, Hiromichi. "On strongly Hausdorff flows." Fundamenta Mathematicae 149.2 (1996): 167-170. <http://eudml.org/doc/212114>.

@article{Nakayama1996,
abstract = {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.},
author = {Nakayama, Hiromichi},
journal = {Fundamenta Mathematicae},
keywords = {foliation; nonwandering set; strongly Hausdorff -flows; product flow; generalized Seifert fibration},
language = {eng},
number = {2},
pages = {167-170},
title = {On strongly Hausdorff flows},
url = {http://eudml.org/doc/212114},
volume = {149},
year = {1996},
}

TY - JOUR
AU - Nakayama, Hiromichi
TI - On strongly Hausdorff flows
JO - Fundamenta Mathematicae
PY - 1996
VL - 149
IS - 2
SP - 167
EP - 170
AB - 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.
LA - eng
KW - foliation; nonwandering set; strongly Hausdorff -flows; product flow; generalized Seifert fibration
UR - http://eudml.org/doc/212114
ER -

References

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  1. [1] D. B. A. Epstein, Foliations with all leaves compact, Ann. Inst. Fourier (Grenoble) 26 (1) (1976), 265-282. Zbl0313.57017
  2. [2] M. C. Irwin, Smooth Dynamical Systems, Academic Press, London, 1980. Zbl0465.58001
  3. [3] H. Nakayama, Some remarks on non-Hausdorff sets for flows, in: Geometric Study of Foliations, World Scientific, Singapore, 1994, 425-429. 
  4. [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. Zbl0688.57016

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