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<p>Let <i>f</i> be an isometry of a median metric space. We show that if <i>f</i> attains its minimal displacement and no power of <i>f</i> has an <i>inversion</i> then <i>f</i> admits an axis. This generalizes to the median setting a result on isometries of <i>CAT</i>(0) cube complexes.</p>

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Axes for median isometries

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月25日

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  • Frédéric Haglund

摘要

Let f be an isometry of a median metric space. We show that if f attains its minimal displacement and no power of f has an inversion then f admits an axis. This generalizes to the median setting a result on isometries of CAT(0) cube complexes.