Indexed metadata
Quantified compactness in Lipschitz-free spaces of [-1,1]ⁿ
Thierry De Pauw
Source abstract
We show that the members of the Lipschitz-free space of [ − 1 , 1 ] n [-1,1]^n are exactly the 0-dimensional flat currents whose “boundary” vanishes. The connection with normal and flat currents allows to use the Federer-Fleming compactness and deformation theorems in this context. We characterize the compact subsets of this Lipschitz-free space and we quantify their ε \varepsilon -entropy.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.