Chain transitive homeomorphisms on a space: all or none
classification
🧮 math.DS
keywords
chainspacestransitivehomeomorphismsadmitaskingconsiderdiscrete
read the original 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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