Bounds of Hausdorff measures of tame sets

Details Bounds of Hausdorff measures of tame sets Bounds of Hausdorff measures of tame sets

2012-04-25

arxiv.org/abs/1204.5744v1

Mathematics

Differential Geometry

15 pages

Scientific paper

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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