= Ultraproduct
{wiki=Ultraproduct}
An ultraproduct is a construction in model theory, a branch of mathematical logic, that combines a family of structures into a new structure. The ultraproduct is useful in various areas such as algebra, topology, and set theory, particularly in the study of non-standard analysis and the preservation of properties between models. Here's a more formal description: 1. **Setting**: Let \\((A_i)_\{i \\in I\}\\) be a collection of structures (e.g.
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