Omega-categorical theory
Summary
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 = = 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.
Further reading
- Wikipedia, page 26628083, revision 1299172324, Omega-categorical theory. adopted
About this page
| Tag | A22K1X8GKD |
|---|---|
| URI | m2://A22K1X8GKD |
| Aliases | countably-categorical-theory, omega-categorical, omega-categorical-theories, omega-categoricity, categorical, categorical-theory, categoricity |
| Kind | concept |
| Writing | W1 stated |
| Same as | |
| Changed | 4 November 2026 |
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