The \Gamma-Ultraproduct and Averageable Classes
Will Boney
TL;DR
This paper introduces the -ultraproduct, a specialized ultraproduct designed to omit certain unary types, and explores conditions for its well-behaved properties along with examples.
Contribution
It defines the -ultraproduct and analyzes conditions under which it maintains desirable properties, expanding ultraproduct theory.
Findings
Identifies conditions for well-behaved -ultraproducts
Provides examples illustrating the concept
Discusses limitations and potential applications
Abstract
We consider an ultraproduct that is designed to omit a fixed set of unary types , called the -ultraproduct. The -ultraproduct is not always well-behaved, but we discuss several general conditions under which it is and several examples.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topology and Set Theory · Rings, Modules, and Algebras · Computability, Logic, AI Algorithms