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Article Dans Une Revue RACSAM. Real Academia de Ciencias. Serie A, Matemáticas - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Année : 2013

Hausdorff limits of Rolle leaves

Résumé

Let R be an o-minimal expansion of the real field. We introduce a class of Hausdorff limits, the T-infinity limits over R, that do not in general fall under the scope of Marker and Steinhorn's definability-of-types theorem. We prove that if R admits analytic cell decomposition, then every T-infinity limit over R is definable in the pfaffian closure of R.

Dates et versions

hal-00608339 , version 1 (12-07-2011)

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Citer

Jean-Marie Lion, Patrick Speissegger. Hausdorff limits of Rolle leaves. RACSAM. Real Academia de Ciencias. Serie A, Matemáticas - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2013, 107 (1 (SI)), pp.79-89. ⟨10.1007/s13398-012-0089-z⟩. ⟨hal-00608339⟩
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