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We show that a topological Cantor set in \(\mathbb {R}\) has at most countably many real-analytic, onto self-maps.

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On the Analytic Self-maps of Cantor Sets in the Line

  • 会议论文

  • 发表日期：

    2025年

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  • Michael Hochman

摘要

We show that a topological Cantor set in \(\mathbb {R}\) has at most countably many real-analytic, onto self-maps.