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On VC-minimal theories and variants

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Publication:377466
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DOI10.1007/s00153-013-0341-zzbMath1298.03097arXiv1110.4274OpenAlexW1976408430MaRDI QIDQ377466

Vincent Guingona, Michael Chris Laskowski

Publication date: 6 November 2013

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.4274

zbMATH Keywords

NIPconvexly orderabledp-minimalKueker conjectureUDTFSVC-minimality


Mathematics Subject Classification ID

Classification theory, stability, and related concepts in model theory (03C45) Model theory of ordered structures; o-minimality (03C64)


Related Items

On VC-minimal fields and dp-smallness, Classes of graphs with low complexity: the case of classes with bounded linear rankwidth, Hereditary G-compactness, On Vapnik‐Chervonenkis density over indiscernible sequences, A local characterization of VC-minimality, On VC-density in VC-minimal theories



Cites Work

  • Dp-minimality: basic facts and examples
  • Some special Vapnik-Chervonenkis classes
  • Classification theory and the number of non-isomorphic models
  • Vapnik-Chervonenkis density in some theories without the independence property, I
  • Additivity of the dp-rank
  • On uniform definability of types over finite sets
  • CONVEXLY ORDERABLE GROUPS AND VALUED FIELDS
  • Kueker's conjecture for stable theories
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