On expansive homeomorphism of uniform spaces

Ali Barzanouni; Ekta Shah

doi:10.2478/ausm-2021-0018

Abstract

We study the notion of expansive homeomorphisms on uniform spaces. It is shown that if there exists a topologically expansive homeomorphism on a uniform space, then the space is always a Hausdor space and hence a regular space. Further, we characterize orbit expansive homeomorphisms in terms of topologically expansive homeomorphisms and conclude that if there exist a topologically expansive homeomorphism on a compact uniform space then the space is always metrizable.

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On expansive homeomorphism of uniform spaces

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