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arxiv: 1204.5744 · v1 · pith:AXRVIUSTnew · submitted 2012-04-25 · 🧮 math.DG · math.AG

Bounds of Hausdorff measures of tame sets

classification 🧮 math.DG math.AG
keywords boundshausdorffmapsmeasuresobjectssetssomecases
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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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