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THE WEAK VOPĚNKA PRINCIPLE FOR DEFINABLE CLASSES OF STRUCTURES

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Publication:5879180
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DOI10.1017/jsl.2022.42OpenAlexW4281691108WikidataQ114117977 ScholiaQ114117977MaRDI QIDQ5879180

Joan Bagaria, Trevor M. Wilson

Publication date: 27 February 2023

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.11202

zbMATH Keywords

strong cardinalVopěnka's principleWoodin cardinalsemi-weak Vopěnka's principleweak Vopěnka's principle


Mathematics Subject Classification ID

Large cardinals (03E55) Graphs, diagram schemes, precategories (18A10) Other set-theoretic hypotheses and axioms (03E65) Foundations, relations to logic and deductive systems (18A15)


Related Items

LARGE CARDINALS AS PRINCIPLES OF STRUCTURAL REFLECTION



Cites Work

  • Unnamed Item
  • Unnamed Item
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  • \(C ^{(n)}\)-cardinals
  • Adequate subcategories
  • Unexpected properties of locally presentable categories
  • Definable orthogonality classes in accessible categories are small
  • Weak Vopěnka's principle does not imply Vopěnka's principle
  • On Injectivity in Locally Presentable Categories
  • The large cardinal strength of weak Vopenka’s principle
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