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Universality with respect to -limit sets

✍ Scribed by Jacek Chudziak; Juan Luis García Guirao; L’ubomír Snoha; Vladimír Špitalský

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
687 KB
Volume
71
Category
Article
ISSN
0362-546X

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✦ Synopsis

A discrete dynamical system on a compact metric space X is called universal (with respect to ω-limit sets) if, among its ω-limit sets, there is a homeomorphic copy of any ω-limit set of any dynamical system on X . By a result of Pokluda and Smítal the unit interval admits a universal system. In this paper, we study the problem of the existence of universal systems on Cantor spaces, graphs, dendrites and higher-dimensional spaces.

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