Erd\H{o}s-Rado Classes
Logic
2024-11-05 v3
Abstract
We amalgamate two generalizations of Ramsey's Theorem--Ramsey classes and the Erd\H{o}s-Rado Theorem--into the notion of a combinatorial Erd\H{o}s-Rado class. These classes are closely related to Erd\H{o}s-Rado classes, which are those from which we can build generalized indiscernibles and blueprints in nonelementary classes, especially Abstract Elementary Classes. We give several examples and some applications.
Keywords
Cite
@article{arxiv.1810.01513,
title = {Erd\H{o}s-Rado Classes},
author = {Will Boney},
journal= {arXiv preprint arXiv:1810.01513},
year = {2024}
}