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<p>We introduce Markov set-valued functions on finite graphs and show that any two generalized inverse limits with Markov set-valued bonding functions following the same pattern are homeomorphic. Consequently, we can generalize the results of Alvin, Kelly, Črepnjak, Kac, and the first author.</p>

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Markov Set-Valued Functions on Finite Graphs and Their Generalized Inverse Limits

  • 期刊论文

  • 发表日期：

    2025年4月16日

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  • Hayato Imamura,
  • Eiichi Matsuhashi,
  • Yoshiyuki Oshima

摘要

We introduce Markov set-valued functions on finite graphs and show that any two generalized inverse limits with Markov set-valued bonding functions following the same pattern are homeomorphic. Consequently, we can generalize the results of Alvin, Kelly, Črepnjak, Kac, and the first author.