A Lipschitz refinement of the Bebutov--Kakutani dynamical embedding theorem
Dynamical Systems
2019-03-27 v1
Abstract
We prove that an -action on a compact metric space embeds equivariantly in the space of one-Lipschitz functions if its fixed point set can be topologically embedded in the unit interval. This is a refinement of the classical Bebutov--Kakutani theorem (1968).
Cite
@article{arxiv.1809.02039,
title = {A Lipschitz refinement of the Bebutov--Kakutani dynamical embedding theorem},
author = {Yonatan Gutman and Lei Jin and Masaki Tsukamoto},
journal= {arXiv preprint arXiv:1809.02039},
year = {2019}
}
Comments
To be published in "Journal of Dynamics and Differential Equations"