On master test plans for the space of BV functions

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