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arXiv · 1204.5744

Bounds of Hausdorff measures of tame sets

Ta Le Loi·Phan Phien
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Abstract

In this paper we present some bounds of Hausdorff measures of objects definable in o-minimal structures: sets, fibers of maps, inverse images of curves of maps, etc. Moreover, we also give some explicit bounds for semi-algebraic or semi-Pfaffian cases, which depend only on the combinatoric data representing the objects involved.

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Ta Le Loi, Phan Phien. 2012-04-25. Bounds of Hausdorff measures of tame sets. https://arxiv.org/abs/1204.5744

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