Geodesic
A theorem on generic intersections in an o-minimal structure
Krzysztof Jan Nowak 1
1 Institute of Mathematics Faculty of Mathematics and Computer Science Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
Fundamenta Mathematicae, Tome 227 (2014) no. 1, pp. 21-25 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\sigma (A) \cap B$ is not greater than the expected one for a generic $\sigma \in G$.
DOI : 10.4064/fm227-1-2
Keywords: consider transitive definable action lie group definable manifold given locally definable subsets prove dimension intersection sigma cap greater expected generic sigma

Krzysztof Jan Nowak  1

1 Institute of Mathematics Faculty of Mathematics and Computer Science Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland 
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Krzysztof Jan Nowak. A theorem on generic intersections in an o-minimal structure. Fundamenta Mathematicae, Tome 227 (2014) no. 1, pp. 21-25. doi: 10.4064/fm227-1-2

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