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<p>We give a criterion for cuspidal cross cap singularities of surfaces which does not require parameterizing the set of singular points. Using this refined criterion, we study singularities of maps obtained by composing a fundamental singularity from the three space to the three space with a cuspidal edge.</p>

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Singularities of cuspidal edge composed with fundamental singularities from the three space to the three space

  • 期刊论文

  • 发表日期：

    2025年12月19日

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  • Kentaro Saji,
  • Runa Shimada

摘要

We give a criterion for cuspidal cross cap singularities of surfaces which does not require parameterizing the set of singular points. Using this refined criterion, we study singularities of maps obtained by composing a fundamental singularity from the three space to the three space with a cuspidal edge.