Past Analytic Topology in Mathematics and Computer Science

23 July 2009
11:30
Piotr Oprocha
Abstract
<span lang="EN-GB"> <p> In this talk we present a method of construction of continuous map f from [0, 1] to itself, such that f is topologically mixing, has the shadowing property and the inverse limit of copies of [0, 1] with f as the bounding map is the pseudoarc. This map indeuces a homeomorphism of the pseudoarc with the shadowing property and positive topological entropy. We therefore answer, in the affirmative, a question posed by Chen and Li in 1993 whether such a homeomorphism exists. </p> </span>
  • Analytic Topology in Mathematics and Computer Science

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