Density of Morse functions on sets definable in o-minimal structures

• Autorzy: Ta Lê Loi
• Języki publikacji: EN

Abstrakty

EN

We present a tameness property of sets definable in o-minimal structures by showing that Morse functions on a definable closed set form a dense and open subset in the space of definable $C^p$ functions endowed with the Whitney topology.

Kategorie tematyczne

• 32B20: Semi-analytic sets and subanalytic sets
• 14B05: Singularities
• 14P10: Semialgebraic sets and related spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2006
• Tom: 89
• Numer: 3
• Strony: 289-299

Daty

wydano

2006

Twórcy

autor

Ta Lê Loi

• Department of Mathematics, University of Dalat, Dalat, Vietnam

Identyfikatory

DOI

10.4064/ap89-3-5