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Topological Dynamics

  • Luís BarreiraEmail author
  • Claudia Valls
Chapter
Part of the Problem Books in Mathematics book series (PBM)

Abstract

Show that if \(f :X \rightarrow X\) is a continuous map on a compact metric space, then \(f(\omega (x))=\omega (x)\) for all \(x \in X\).

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Instituto Superior TécnicoUniversidade de LisboaLisbonPortugal
  2. 2.Instituto Superior TécnicoUniversidade de LisboaLisbonPortugal

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