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arXiv · 1511.02072

Chain transitive homeomorphisms on a space: all or none

ethan akin·juho rautio
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Abstract

We consider which spaces can be realized as the omega limit set of the discrete time dynamical system. This is equivalent to asking which spaces admit a chain transitive homeomorphism and which do not. This leads us to ask for spaces where all homeomorphisms are chain transitive.

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ethan akin, juho rautio. 2015-11-06. Chain transitive homeomorphisms on a space: all or none. https://doi.org/10.2140/pjm.2017.291.1

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