Hausdorff limits of Rolle leaves
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-inf...
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| Sprache: | eng |
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.1107.0648 |