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<p>We show that the natural stratifications arising from certain deformation families of line singularities with constant Lê numbers satisfy Bekka’s (<i>c</i>)-regularity condition. As a corollary, we obtain that these families are topologically equisingular. Similar results for families of isolated singularities were established by Abderrahmane.</p>

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Bekka’s (c)-regularity condition and families of line singularities with constant Lê numbers

  • 期刊论文

  • 发表日期：

    2026年7月7日

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  • Christophe Eyral,
  • Öznur Turhan

摘要

We show that the natural stratifications arising from certain deformation families of line singularities with constant Lê numbers satisfy Bekka’s (c)-regularity condition. As a corollary, we obtain that these families are topologically equisingular. Similar results for families of isolated singularities were established by Abderrahmane.