Omega-categorical theory

id: omega-categorical-theory-264-7542100
title: Omega-categorical theory
text: In mathematical logic, an omega-categorical theory is a theory that has exactly one countably infinite model up to isomorphism. Omega-categoricity is the special case κ =  ℵ 0  = ω of κ-categoricity, and omega-categorical theories are also referred to as ω-categorical. The notion is most important for countable first-order theories.
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category slug: encyclopedia
description: Mathematical logic theory with exactly one countably infinite model up to isomorphism
original url: https://en.wikipedia.org/wiki/Omega-categorical_theory
date created:
date modified: 2024-03-19T13:15:02Z
main entity: {"identifier":"Q7089964","url":"https://www.wikidata.org/entity/Q7089964"}
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integrity: 14

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