A theorem on generic intersections in an o-minimal structure

• Autorzy: Krzysztof Jan Nowak
• Języki publikacji: EN

Abstrakty

EN

Consider a transitive definable action of a Lie group G on a definable manifold M. Given two (locally) definable subsets A and B of M, we prove that the dimension of the intersection σ(A) ∩ B is not greater than the expected one for a generic σ ∈ G.

Kategorie tematyczne

• 14P15: Real analytic and semianalytic sets
• 03C64: Model theory of ordered structures; o-minimality
• 22E15: General properties and structure of real Lie groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2014
• Tom: 227
• Numer: 1
• Strony: 21-25

Daty

wydano

2014

Twórcy

autor

Krzysztof Jan Nowak

• Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/fm227-1-2