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<p>Ozawa and Shioya&#xa0;[<CitationRef CitationID="CR3">3</CitationRef>] proposed the limit formula for observable diameters of pyramids under weak convergence. However, we find a constructive counterexample to an inequality used in their proof. In this paper, we correct the inequality and verify the limit formula.</p>

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A complete proof of the limit formula for observable diameter

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年5月26日

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  • Shigeaki Yokota

摘要

Ozawa and Shioya [3] proposed the limit formula for observable diameters of pyramids under weak convergence. However, we find a constructive counterexample to an inequality used in their proof. In this paper, we correct the inequality and verify the limit formula.