A Solovay-like model for singular generalized descriptive set theory

DOI10.1016/j.topol.2022.108284OpenAlexW4304014625MaRDI QIDQ2105045

Vincenzo Dimonte

Publication date: 8 December 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.09442

zbMATH Keywords

generalized Polish spacesupercompact Prikry forcing\(\lambda\)-perfect set property

Mathematics Subject Classification ID

Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55)

Cites Work

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• On the singular cardinals problem. I
• I0 and rank-into-rank axioms
• SUITABLE EXTENDER MODELS II: BEYOND ω-HUGE
• Proper Forcing
• Elementary embeddings and infinitary combinatorics
• The self-iterability of L[E]
• The consistency strength of an infinitary Ramsey property
• Implications of very large cardinals
• Inverse limit reflection and the structure of L(V_λ+1)

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