Bekka’s (c)-regularity condition and families of line singularities with constant Lê numbers
Manuscripta Mathematica, vol.177, no.4, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 177 Issue: 4
- Publication Date: 2026
- Doi Number: 10.1007/s00229-026-01731-5
- Journal Name: Manuscripta Mathematica
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET, Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Open Archive Collection: AVESIS Open Access Collection
- Galatasaray University Affiliated: No
Abstract
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.