Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Fixed points of topologically stable flows

Author: Mike Hurley
Journal: Trans. Amer. Math. Soc. 294 (1986), 625-633
MSC: Primary 58F25
MathSciNet review: 825726
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Abstract: This paper concerns certain necessary conditions for a flow to be topologically stable (in the sense of P. Walters). In particular, it is shown that under fairly general conditions one can conclude that a topologically stable flow has a finite number of fixed points, and each of these is isolated in the chain recurrent set of the flow.

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Article copyright: © Copyright 1986 American Mathematical Society