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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DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0835893-X
Keywords: Homogenous, Lipschitz homeomorphism, homeomorphism group
Article copyright: © Copyright 1986 American Mathematical Society