2 papers
math.FA2025
Shortcut Laakso spaces, pure PI unrectifiability and differentiability of Lipschitz functions
David Bate, Pietro Wald
We construct a family of purely PI unrectifiable Lipschitz differentiability spaces and investigate the possible of Banach spaces targets for which Lipschitz differentiability hold…
math.MG2025
Structure of Metric -currents: approximation by normal currents and representation results
David Bate, Emanuele Caputo, Jakub TakÃ¡Ä +2
We prove the -dimensional flat chain conjecture in any complete and quasiconvex metric space, namely that metric -currents can be approximated in mass by normal -currents.…