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On Strongly Irregular Points of a Brouwer Homeomorphism Embeddable in a Flow

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  • Zbigniew Leśniak

Abstract

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

Suggested Citation

  • Zbigniew Leśniak, 2014. "On Strongly Irregular Points of a Brouwer Homeomorphism Embeddable in a Flow," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, October.
    • Handle: RePEc:hin:jnlaaa:638784
    DOI: 10.1155/2014/638784
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