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학술저널

ENTROPY MAPS FOR MEASURE EXPANSIVE HOMEOMORPHISMS

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It is well known that the entropy map is upper semi-continuous for expansive homeomorphisms on a compact metric space. Recently, Morales [3] introduced the notion of measure expansiveness which is general than that of expansiveness. In this paper, we prove that the entropy map is upper semi-continuous for measure expansive homeomorphisms.

1. Introduction

2. Example

3. Entropy maps of measure expansive homeomorphisms

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