Bounds of Hausdorff Measures of Tame Sets
Ta Le Loi, Phan Phien



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, and so on. 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.