Phoebe Valentine

collaborators

2 papers

math.MG2026

Characterising 1-rectifiable metric spaces via connected tangent spaces

David Bate, Phoebe Valentine

We prove that in a complete metric space $X$ , $1$ -rectifiability of a set $E \subset X$ with $H^{1} (E) < \infty$ and positive lower density $H^{1}$ -a.e. is implied by…

math.MG2025

Structure of Metric $1$ -currents: approximation by normal currents and representation results

David Bate, Emanuele Caputo, Jakub TakÃ¡Ä +2

We prove the $1$ -dimensional flat chain conjecture in any complete and quasiconvex metric space, namely that metric $1$ -currents can be approximated in mass by normal $1$ -currents.…

Characterising 1-rectifiable metric spaces via connected tangent spaces

Structure of Metric 1-currents: approximation by normal currents and representation results

Structure of Metric $1$ -currents: approximation by normal currents and representation results