Expository review of equivalences between purely 1-unrectifiable metric spaces and Banach space properties of their Lipschitz-free spaces, with extension to non-compact cases.
de Pauw,Quantified compactness in Lipschitz-free spaces of[−1,1] n, arXiv preprint (2025), arXiv:2504.19100
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Lipschitz-free spaces and purely 1-unrectifiable metric spaces
Expository review of equivalences between purely 1-unrectifiable metric spaces and Banach space properties of their Lipschitz-free spaces, with extension to non-compact cases.