Before revision:  We provide an introduction to topological summaries of time-varying metric spaces including vineyards [ 17 ], crocker plots [ 52 ], and multiparameter rank functions [ 34 ].
After revision:  We provide an introduction to topological summaries of time-varying metric spaces including vineyards [ 17 ], crocker plots [ 56 ], and multiparameter rank functions [ 34 ].