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<p>In this paper, we investigate removability for generalized John metric spaces. We prove that <i>X</i> is a generalized John metric space if and only if <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(X\backslash P\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>X</mi> <mo stretchy="true">\</mo> <mi>P</mi> </mrow> </math></EquationSource> </InlineEquation> is a generalized John metric space, where <i>P</i> is a countable subset of <i>X</i> which satisfies a quasihyperbolic <i>b</i>-separation condition with parameter <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(b&gt;0\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>b</mi> <mo>&gt;</mo> <mn>0</mn> </mrow> </math></EquationSource> </InlineEquation>.</p>

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Removability for Generalized John Metric Spaces

  • 期刊论文

  • 发表日期：

    2026年5月20日

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  • Fang Yan,
  • Hongjun Liu,
  • Xiaojun Huang

摘要

In this paper, we investigate removability for generalized John metric spaces. We prove that X is a generalized John metric space if and only if \(X\backslash P\) X \ P is a generalized John metric space, where P is a countable subset of X which satisfies a quasihyperbolic b-separation condition with parameter \(b>0\) b > 0 .