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A lot of deep results in model theory can be reached by the method of saturated models. Two of the most useful properties of saturated models are their existence and their uniqueness. The existence means that each model can be elementarily extended to a saturated model, while uniqueness holds when the model is ‘sufficiently’ small.

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Saturated Models

  • 章节

  • 发表日期：

    2025年

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  • Răzvan Diaconescu

摘要

A lot of deep results in model theory can be reached by the method of saturated models. Two of the most useful properties of saturated models are their existence and their uniqueness. The existence means that each model can be elementarily extended to a saturated model, while uniqueness holds when the model is ‘sufficiently’ small.