Before revision:  The only available result in this setting ~\mbox{%DIFAUXCMD Munch2016  topological spaces and cannot be used as is for finite metric spaces representing data, such as point clouds and distance matrices.
After revision:  The only available result in this setting ~\mbox{%DIFAUXCMD Munch2016 can only handle continuous topological spaces and cannot be used as is for finite metric spaces representing data, such as point clouds and distance matrices.