MATH 591 Model Theory

4 credits · Mathematics and Statistics · Faculty of Science · Not scheduled for 2026–2027

Structures, theories, and definable sets; elementary equivalence and elementary embeddings; compactness and Löwenheim– Skolem theorems; types, the omitting types theorem, and saturation; categoricity and the Ryll-Nardzewski theorem; quantifier elimination and applications to algebra; ultraproducts; …

Prerequisites

MATH 318 or MATH 488 or MATH 456 or permission of the instructor.

Prerequisite courses: MATH 318, MATH 456, MATH 488

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