n-dependent continuous theories and hyperdefinable sets
Logic
2024-05-31 v1
Abstract
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 -dependence for continuous theories and first-order hyperdefinable sets in terms of the collapse of indiscernible sequences.
Cite
@article{arxiv.2405.19830,
title = {n-dependent continuous theories and hyperdefinable sets},
author = {Adrián Portillo Fernández},
journal= {arXiv preprint arXiv:2405.19830},
year = {2024}
}