A theorem on generic intersections in an o-minimal structure
Krzysztof Jan Nowak
Fundamenta Mathematicae, Tome 227 (2014), p. 21-25 / Harvested from The Polish Digital Mathematics Library
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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 σ(A) ∩ B is not greater than the expected one for a generic σ ∈ G.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:282594 
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Krzysztof Jan Nowak. A theorem on generic intersections in an o-minimal structure. Fundamenta Mathematicae, Tome 227 (2014) pp. 21-25. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm227-1-2/