Generic Vopěnka cardinals and models of ZF with few \(\aleph _1\)-Suslin sets

DOI10.1007/S00153-019-00662-1zbMath1468.03067arXiv1807.02208OpenAlexW2818792976MaRDI QIDQ2274132

Trevor M. Wilson

Publication date: 19 September 2019

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

Full work available at URL: https://arxiv.org/abs/1807.02208

zbMATH Keywords

Suslin setvirtual large cardinalsgeneric Vopěnka principle

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35) Large cardinals (03E55)

Related Items (1)

THE CONSISTENCY STRENGTH OF THE PERFECT SET PROPERTY FOR UNIVERSALLY BAIRE SETS OF REALS

Cites Work

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• Generic Vopěnka's principle, remarkable cardinals, and the weak proper forcing axiom
• A model of the generic Vopěnka principle in which the ordinals are not Mahlo
• Virtual large cardinals
• Strong axioms of infinity and elementary embeddings
• THE CONSISTENCY STRENGTH OF THE PERFECT SET PROPERTY FOR UNIVERSALLY BAIRE SETS OF REALS
• WEAKLY REMARKABLE CARDINALS, ERDŐS CARDINALS, AND THE GENERIC VOPĚNKA PRINCIPLE
• A large cardinal in the constructible universe
• Internal cohen extensions

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