Invariance of regularity conditions under definable, locally Lipschitz, weakly bi-Lipschitz mappings

• Autorzy: Małgorzata Czapla
• Języki publikacji: EN

Abstrakty

EN

We describe the notion of a weakly Lipschitz mapping on a $C^{q}$ stratification. We also distinguish a class of regularity conditions that are in some sense invariant under definable, locally Lipschitz and weakly bi-Lipschitz homeomorphisms. This class includes the Whitney (B) condition and the Verdier condition.

Kategorie tematyczne

• 32B20: Semi-analytic sets and subanalytic sets
• 51F99: None of the above, but in this section
• 51N20: Euclidean analytic geometry
• 32S60: Stratifications; constructible sheaves; intersection cohomology
• 14P10: Semialgebraic sets and related spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2010
• Tom: 97
• Numer: 1
• Strony: 1-21

Daty

wydano

2010

Twórcy

autor

Małgorzata Czapla

• Instytut Matematyki, Uniwersytet Jagielloński, Stanisława Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/ap97-1-1