A theorem on generic intersections in an o-minimal structure
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dc.type
JournalArticle
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dc.description.physical
21-25
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dc.abstract.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.
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dc.description.volume
227
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dc.identifier.doi
10.4064/fm227-1-2
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dc.identifier.eissn
1730-6329
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dc.title.journal
Fundamenta Mathematicae
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dc.language.container
eng
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dc.affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki