2024/05/30 by Fernández, Adrián Portillo
#03C45 #FOS: Mathematics #Logic (math.LO)
paper · doi:10.48550/arxiv.2405.19830
We define the continuous modeling property for first-order structures and show that a first-order structure has the continuous modelling property if and only if its age has the embedding Ramsey property. We use generalized indiscernible sequences in continuous logic to study and characterize n-dependence for continuous theories and first-order hyperdefinable sets in terms of the collapse of indiscernible sequences.