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On strongly irregular points of a Brouwer homeomorphism embeddable in a flow. (English) Zbl 1474.37042

Summary: We study the set of all strongly irregular points of a Brouwer homeomorphism \(f\) which is embeddable in a flow. We prove that this set is equal to the first prolongational limit set of any flow containing \(f\). We also give a sufficient condition for a class of flows of Brouwer homeomorphisms to be topologically conjugate.

MSC:

37E30 Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces
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