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Hölder–Łojasiewicz inequalities for volumes of tame objects

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Abstract

In this paper, motivated by the Hölder–Łojasiewicz inequality, we present some inequalities to uniformly estimate the volumes of the images or pre-images of definable families of sets through maps definable in o-minimal structures, via the volumes of the families involved.

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  1. Department of Mathematics, University of Dalat, Dalat, Vietnam

    Ta Lê Loi

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  1. Ta Lê Loi
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Correspondence to Ta Lê Loi.

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This research is funded by Vietnamese National Foundation for Science and Technology Development (NAFOSTED) under grand number 101.04-2017.324, and GDRI Singularities (International Research Project of CNRS).

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Loi, T.L. Hölder–Łojasiewicz inequalities for volumes of tame objects. Math. Z. 299, 941–959 (2021). https://doi.org/10.1007/s00209-021-02696-9

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