A further result on extending expansive homeomorphisms

Wine, J. D.

doi:10.1090/S0002-9939-1985-0796461-0

A further result on extending expansive homeomorphisms
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Proc. Amer. Math. Soc. 95 (1985), 131-134 Request permission

Abstract:

In this note we give a necessary and sufficient condition for a selfhomeomorphism defined on an open subset of a compact metric space to be extended to the whole space using the concept of a generator. Two examples of homeomorphic extensions of expansive homeomorphisms are given, one examining the equivalence of the theorem and the other showing that a previous result’s sufficient condition for the extension of expansive homeomorphisms is not necessary.

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