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🔗 Source: math.uchicago.edu
📊 Size: 281 KB
📄 Pages: 13 pages
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The Keisler Order, introduced by H. Jerome Keisler in 1967, is a pre-order on countable first-order theories that ranks classes of theories by complexity. The order is still not fully understood, but it has shed light on dividing lines between classes of unstable theories. The paper introduces the basic definitions and concepts necessary to define the Keisler Order, including ultrapowers, saturation, and satisfaction, and proves the order is well-defined and the existence of a maximal class with respect to the order.

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The Keisler Order, introduced by H. Jerome Keisler in 1967, is a pre-order on countable first-order theories that ranks classes of theories by complexity.

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  • File Format: PDF
  • File Size: 281 KB
  • Pages: 13
  • Language: EN
  • Total Downloads: 84
  • Last Updated: 1 month ago

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