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Lipschitz-free spaces and purely 1-unrectifiable metric spaces

Aliaga, Ramón J.
arXiv (All) · Papers
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51f30functional-analysismetric-geometry
The Lipschitz-free space $\mathcal{F}(M)$ is a canonical linearization of a complete metric space $M$ whose topological dual is the space of Lipschitz functions on $M$. We review the properties of $\mathcal{F}(M)$ when the underlying space $M$ is purely 1-unrectifiable, that is, it contains no bi-Li
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