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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Minimal sets in recurrent discrete flows


Author: Ronald A. Knight
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
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1987-0883427-7
Keywords: Discrete flows, minimal set, recurrent
Article copyright: © Copyright 1987 American Mathematical Society