A metric form of microtransitivity

Hohti, Aarno

doi:10.1090/S0002-9939-1986-0835893-X

A metric form of microtransitivity
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Proc. Amer. Math. Soc. 97 (1986), 331-338 Request permission

Abstract:

We prove that every homogeneous compact metrizable space $X$ has a compatible metric for which $X$ is Lipschitz homogeneous and for which the group $L(X)$ of Lipschitz homeomorphisms of $X$ acts Lipschitz microtransitively on $X$.

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