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\(\aleph_0\)-categoricity over a predicate

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Publication:1167155
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DOI10.1305/NDJFL/1093870455zbMath0491.03009OpenAlexW2055639305MaRDI QIDQ1167155

Anand Pillay

Publication date: 1983

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1305/ndjfl/1093870455


zbMATH Keywords

countable theoryaleph-zero categoricity


Mathematics Subject Classification ID

Model theory of denumerable and separable structures (03C15) Categoricity and completeness of theories (03C35)


Related Items (6)

Abelian groups \(\aleph_ 0\)-categorical over a subgroup ⋮ Omega-categoricity, relative categoricity and coordinatisation ⋮ Completely decomposable abelian groups \(\aleph_ 0\)-categorical over a subgroup ⋮ Categoricity over P for first order T or categoricity for \(\phi\) \(\in {\mathcal L}_{\omega_ 1\omega}\) can stop at \(\aleph_ k\) while holding for \(\aleph_ 0,\dots ,\aleph_{k-1}\) ⋮ Completely decomposable abelian groups \(\aleph_ 0\)-categorical over a subgroup ⋮ A model-theoretic characterization of the weak pigeonhole principle







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