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Comparing the uniformity invariants of null sets for different measures

Saharon Shelah·Juris Steprāns
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Abstract

It is shown to be consistent with set theory that the uniformity invariant for Lebesgue measure is strictly greater than the corresponding invariant for Hausdorff r-dimensional measure where 0<r<1.

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Saharon Shelah, Juris Steprāns. 2004-05-06. Comparing the uniformity invariants of null sets for different measures. https://arxiv.org/abs/math/0405092

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