Minimal sets in recurrent discrete flows
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- by Ronald A. Knight PDF
- Proc. Amer. Math. Soc. 100 (1987), 195-198 Request permission
Abstract:
Each orbit closure of a recurrent discrete flow on a locally compact space is shown to contain at most one compact minimal subset. In particular, such an orbit closure contains a unique compact minimal subset if and only if the orbit closure is compact.References
- Yitzhak Katznelson and Benjamin Weiss, When all points are recurrent/generic, Ergodic theory and dynamical systems, I (College Park, Md., 1979–80), Progr. Math., vol. 10, Birkhäuser, Boston, Mass., 1981, pp. 195–210. MR 633765
- Ronald A. Knight, Prolongationally stable discrete flows, Fund. Math. 108 (1980), no. 2, 137–144. MR 594313, DOI 10.4064/fm-108-2-137-144
- Ronald A. Knight, Compact discrete flows, Fund. Math. 118 (1983), no. 3, 183–190. MR 736278, DOI 10.4064/fm-118-3-183-190
- Ronald A. Knight, A characterization of recurrent motions, Bull. Austral. Math. Soc. 28 (1983), no. 1, 1–4. MR 726796, DOI 10.1017/S0004972700026058
Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 100 (1987), 195-198
- MSC: Primary 54H20
- DOI: https://doi.org/10.1090/S0002-9939-1987-0883427-7
- MathSciNet review: 883427