Choiceless chain conditions

DOI10.1007/s40879-022-00564-2OpenAlexW3168522335MaRDI QIDQ2097288

Noah Schweber, Asaf Karagila

Publication date: 11 November 2022

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

Full work available at URL: https://arxiv.org/abs/2106.03561

zbMATH Keywords

forcingaxiom of choicecountable chain conditionsymmetric extensions

Mathematics Subject Classification ID

Consistency and independence results (03E35) Axiom of choice and related propositions (03E25)

Related Items (1)

The relative strengths of fragments of Martin's axiom

Cites Work

• Provable forms of Martin's Axiom
• Intermediate submodels and generic extensions in set theory
• Six impossible rings
• Choiceless Löwenheim-Skolem property and uniform definability of grounds
• Certain very large cardinals are not created in small forcing extensions
• On Martin's Axiom and Forms of Choice
• On generic extensions without the axiom of choice
• C.c.c. forcing without combinatorics
• Characterization of generic extensions of models of set theory
• Generic extensions of models of ZFC
• ITERATING SYMMETRIC EXTENSIONS
• Set Theory
• DEPENDENT CHOICE, PROPERNESS, AND GENERIC ABSOLUTENESS
• Preserving Dependent Choice
• Generic Embeddings
• THE INDEPENDENCE OF THE CONTINUUM HYPOTHESIS
• The axiom of choice

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