Before revision:  The stability and quantification of the rate of convergence of the Mapper to the Reeb space has been studied a lot in recent works ~\mbox{%DIFAUXCMD Brown2019, Carriere2018a, Carriere2018, Munch2016  focusing on the case where a scalar-valued filter is used for the computation of Mapper.
After revision:  The stability and quantification of the rate of convergence of the Mapper to the Reeb space has been studied a lot in recent works BBMW19, CO17, CMO18, MW16 focusing on the case where a scalar-valued filter is used for the computation of Mapper.