A further result on extending expansive homeomorphisms

Author:
J. D. Wine

Journal:
Proc. Amer. Math. Soc. **95** (1985), 131-134

MSC:
Primary 54H20; Secondary 54C20

DOI:
https://doi.org/10.1090/S0002-9939-1985-0796461-0

MathSciNet review:
796461

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Abstract | References | Similar Articles | Additional Information

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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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1985-0796461-0

Keywords:
Expansive homeomorphisms,
extending homeomorphisms,
generator

Article copyright:
© Copyright 1985
American Mathematical Society