A theorem on generic intersections in an o-minimal structure

作者：Nowak Krzysztof Jan^*

来源：Fundamenta Mathematicae, 2014, 227(1): 21-25.

DOI：10.4064/fm227-1-2

• definable group action
• intersections of definable sets
• o-minimal structure

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) boolean AND B is not greater than the expected one for a generic sigma is an element of G.

• 出版日期2014