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<p>In this manuscript, we aim to investigate the topological entropy defined on compact uniform spaces. First, we introduce the notions of measure-theoretic entropy and topological entropy of subsets on compact uniform spaces. Subsequently, we obtain a variational principle for topological entropy of subsets on compact uniform spaces.</p>

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Some Notes on Topological Entropy of Subsets on Compact Uniform Spaces

  • 期刊论文

  • 发表日期：

    2025年3月5日

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  • Zhongxuan Yang,
  • Xiaojun Huang

摘要

In this manuscript, we aim to investigate the topological entropy defined on compact uniform spaces. First, we introduce the notions of measure-theoretic entropy and topological entropy of subsets on compact uniform spaces. Subsequently, we obtain a variational principle for topological entropy of subsets on compact uniform spaces.