ven when states for higher-order interactionsare defined, the topological structure of the system— that is, the presence or absence of simplices andhyperedges — has typically been considered fixed in time(for example, in neural codes [16]). However, in manysystems the organization of the interactions changesover time [ 62 ]. It remains an open question how todefine realistic models of topological co-evolution, wherehigher-order structure and higher-order dynamics evolvetogether under the effect of mutual feedback