Chain transitive homeomorphisms on a space: all or none
Dynamical Systems
2018-03-16 v1
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.
Cite
@article{arxiv.1511.02072,
title = {Chain transitive homeomorphisms on a space: all or none},
author = {ethan akin and juho rautio},
journal= {arXiv preprint arXiv:1511.02072},
year = {2018}
}