Strict $${\mathcal {C}}^p$$-triangulations of sets locally definable in o-minimal structures with an application to a $$\mathcal C^p$$-approximation problem
Abstract:We show how to derive triangulations of sets locally definable in o-minimal structures from triangulations of compact definable sets. We give it in particular for strict $$\mathcal C^p$$
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-triangulations which has been recently studied by the author. This combined with a theorem of Fernando and Ghiloni implies that every continuous mapping defined on a locally compact subset B of $$\mathbb R^m$$
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