3 papers
math.MG2026
Planar lamplighter is not of negative type
Gioacchino Antonelli, Emanuele Caputo, Nicola Cavallucci +3
The lamplighter group over the planar integer grid is proved to not be bi-Lipschitz equivalent to any metric space of negative type, so in particular it does not admit a bi-Lipschi…
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 Takáč +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.…