Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A metric form of microtransitivity

Author: Aarno Hohti
Journal: Proc. Amer. Math. Soc. 97 (1986), 331-338
MSC: Primary 54H15; Secondary 54E35
MathSciNet review: 835893
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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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Keywords: Homogenous, Lipschitz homeomorphism, homeomorphism group
Article copyright: © Copyright 1986 American Mathematical Society