Erd\H{o}s-Rado Classes

Will Boney

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arXiv · 1810.01513

Erd\H{o}s-Rado Classes

Will Boney

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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.

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BibTeX RIS

Will Boney. 2018-10-02. Erd\H{o}s-Rado Classes. https://arxiv.org/abs/1810.01513

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