Inserted: 21 mar 2018
Last Updated: 17 nov 2020
Journal: Ann. Acad. Sci. Fenn. Math.
We prove a compactness result for bounded sequences $(u_j)_j$ of functions with bounded variation in metric spaces $(X,d_j)$ where the space $X$ is fixed but the metric may vary with $j$. We also provide an application to Carnot-Carathéodory spaces.