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A characterization of a map whose inverse limit is an arc

Published 8 Aug 2020 in math.DS | (2008.03486v1)

Abstract: For a continuous function $f : [0,1] \to [0,1]$ we define a splitting sequence admitted by $f$ and show that the inverse limit of $f$ is an arc if and only if $f$ does not admit a splitting sequence.

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Authors (2)

  1. Sina Greenwood 
  2. Sonja Stimac 

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