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Lipschitz Stratifications and Generic Wings
Author(s) -
Juniati Dwi,
Trotman David,
Valette Guillaume
Publication year - 2003
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610703004289
Subject(s) - triviality , lipschitz continuity , mathematics , pure mathematics , intersection (aeronautics) , engineering , aerospace engineering
The paper shows that, for subanalytic stratifications, Lipschitz equisingularity as defined by Mostowski is preserved after intersection with generic wings, that is, L ‐regularity implies L * ‐regularity. This was one of the conditions required of a good equisingularity notion by Teissier in his foundational 1974 Arcata paper. Previous authors have shown that Lipschitz equisingularity is generic, implies bilipschitz triviality, and hence topological triviality, and implies equimultiplicity.