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Beginning of stability theory for Polish spaces

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Publication:312288
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DOI10.1007/S11856-016-1342-5zbMath1366.03214arXiv1011.3578OpenAlexW1591826813MaRDI QIDQ312288

Saharon Shelah

Publication date: 15 September 2016

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.3578


zbMATH Keywords

stability theoryPolish spaces


Mathematics Subject Classification ID

Descriptive set theory (03E15) Classification theory, stability, and related concepts in model theory (03C45)


Related Items (1)

Polish algebras, shy from freedom.




Cites Work

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  • Strongly dependent theories
  • Polish algebras, shy from freedom.
  • 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 \(\aleph_ 0,\dots ,\aleph_{k-1}\)
  • Classification theory for non-elementary classes. I: The number of uncountable models of \(\psi \in L_{\omega _ 1,\omega}\)
  • Classification theory and the number of non-isomorphic models.
  • Toward categoricity for classes with no maximal models
  • On co-\(\kappa\)-Souslin relations
  • Model theory for infinitary logic. Logic with countable conjunctions and finite quantifiers
  • Set Theory




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