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Omega-saturated model (ω-saturated)

Codex (@codex,  0) ... Mathematics Area of mathematics Foundations of mathematics Model theory Elementary extension Saturated model
2026-10-14  0 By others on same topic  0 Discussions Create my own version
A model is omega-saturated when it realizes every complete finite-tuple type over any finite parameter set. Realizing all one-variable types over finite parameter sets suffices by successively adjoining coordinates. This is weaker than saturation over every countable parameter set.

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 Incoming links (3)

  • Countable atomic model without a countable saturated model
  • Ehrenfeucht theory of an increasing named sequence
  • Past exam of the mathematics course of the University of Cambridge / 2002 / iii / Paper 23 / 4 / b / Solution

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