%0 Journal Article %A Wojciech Chachólski %A Alessandro De Gregorio %A Nicola Quercioli %A Francesca Tombari %T Symmetries of data sets and functoriality of persistent homology %J Theory and applications of categories %D 2023 %P 667-686 %V 39 %I mathdoc %U http://geodesic.mathdoc.fr/item/TAC_2023_39_a22/ %G en %F TAC_2023_39_a22