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Strongly minimal countably categorical theories

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Publication:1164621
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DOI10.1007/BF00968268zbMath0486.03017MaRDI QIDQ1164621

B. I. Zil'ber

Publication date: 1980

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

categorical in all infinite powerscomplete finitely axiomatizable theoryproperties of strongly minimal formulaspseudoplane


Mathematics Subject Classification ID

Categoricity and completeness of theories (03C35)


Related Items (9)

IN MEMORIAM: MICHAEL MORLEY, 1930–2020 ⋮ On countable stable structures which are homogeneous for a finite relational language ⋮ Unnamed Item ⋮ Kinds of pregeometries of acyclic theories ⋮ Unnamed Item ⋮ A new strongly minimal set ⋮ Reducts of Hrushovski's constructions of a higher geometrical arity ⋮ \(\aleph _ 0\)-categorical, \(\aleph _ 0\)-stable structures ⋮ Generic pairs of SU-rank 1 structures




Cites Work

  • Theories with a finite number of models in an uncountable power are categorical
  • Two conjectures regarding the stability of ω-categorical theories
  • On strongly minimal sets




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