Fixed points of topologically stable flows

Hurley, Mike

doi:10.1090/S0002-9947-1986-0825726-4

Fixed points of topologically stable flows
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Trans. Amer. Math. Soc. 294 (1986), 625-633 Request permission

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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