Mathieu Helfter

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20242026

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math.FA2025

Sets with arbitrary Hausdorff and packing scales in infinite dimensional Banach spaces

Mathieu Helfter

For every couple of Hausdorff functions $I ¨ $ and $I ¨ $ verifying some mild assumptions, there exists a compact subset $K$ of the Baire space such that the $I ¨ $ -Hausdorff measure…

math.DS2025

Scales

Mathieu Helfter

We introduce the notion of scale to generalize and compare different invariants of metric spaces and their measures. Several versions of scales are introduced such as Hausdorff, pa…