Before revision: {\cal  {\cal  _1,...,{\cal P}_m, for the data reduction purpose, one way to summarize their topological features is to compute the {\em center} {\cal C} of them .
After revision: {\cal {\cal =P\cup\{(x,y)|y=x\} Given a set of persistence diagrams {\cal P_1,...,{\cal P}_m, for the data reduction purpose, one way to summarize their topological features is to compute the {\em center} {\cal C} of them .