## On master test plans for the space of BV functions

created by pasqualetto on 13 Sep 2021
modified by nobili on 31 May 2022

[BibTeX]

Published Paper

Inserted: 13 sep 2021
Last Updated: 31 may 2022

We prove that on an arbitrary metric measure space a countable collection of test plans is sufficient to recover all $\rm BV$ functions and their total variation measures. In the setting of non-branching ${\sf CD}(K,N)$ spaces (with finite reference measure), we can additionally require these test plans to be concentrated on geodesics.