Seminar series
Date
Thu, 23 Jul 2009
11:30
11:30
Location
L3
Speaker
Piotr Oprocha
Organisation
(Murcia and Krakow)
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.