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<p>In (Bull. Malays. Math. Sci. Soc. 48(3):Art. No. 86, 2025), Imamura, Matsuhashi, and the author showed that any two generalized inverse limits of finite graphs with Markov set-valued bonding functions following the same pattern are homeomorphic. In this paper, we introduce the concept of Markov set-valued functions on one-dimensional continua. Then, we generalize the result of Imamura, Matsuhashi, and the author.</p>

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On Markov set-valued functions between one-dimensional continua

  • 期刊论文

  • 发表日期：

    2025年10月11日

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  • Yoshiyuki Oshima

摘要

In (Bull. Malays. Math. Sci. Soc. 48(3):Art. No. 86, 2025), Imamura, Matsuhashi, and the author showed that any two generalized inverse limits of finite graphs with Markov set-valued bonding functions following the same pattern are homeomorphic. In this paper, we introduce the concept of Markov set-valued functions on one-dimensional continua. Then, we generalize the result of Imamura, Matsuhashi, and the author.