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arXiv · 1107.0648

Hausdorff limits of Rolle leaves

Jean-Marie Lion·Patrick Speissegger
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Abstract

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.

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Jean-Marie Lion, Patrick Speissegger. 2011-07-04. Hausdorff limits of Rolle leaves. https://arxiv.org/abs/1107.0648

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