A Lipschitz refinement of the Bebutov--Kakutani dynamical embedding theorem

Yonatan Gutman, Lei Jin, Masaki Tsukamoto

We prove that an $\mathbb{R}$-action on a compact metric space embeds equivariantly in the space of one-Lipschitz functions $\mathbb{R}\to [0,1]$ if its fixed point set can be topol…