A NOTE ON RECURSIVE SETS FOR MAPS OF THE CIRCLE

  • Received : 2000.04.29
  • Published : 2000.06.30

Abstract

For a continuous map f of the circle to itself, we show that if P(f) is closed, then ${\Gamma}(f)$ is closed, and ${\Omega}(f)={\Omega}(f^n)$ for all n > 0.

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