Fresh subsets of ultrapowers

DOI10.1007/S00153-016-0497-4zbMath1403.03080OpenAlexW2472256629MaRDI QIDQ506980

Assaf Shani

Publication date: 2 February 2017

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

Full work available at URL: https://doi.org/10.1007/s00153-016-0497-4

zbMATH Keywords

forcingAronszajn treesfresh subsetssquare principles

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05)

Related Items (5)

KNASTER AND FRIENDS III: SUBADDITIVE COLORINGS ⋮ Aronszajn trees, square principles, and stationary reflection ⋮ REDUCED POWERS OF SOUSLIN TREES ⋮ SQUARES, ASCENT PATHS, AND CHAIN CONDITIONS ⋮ CLOSURE PROPERTIES OF MEASURABLE ULTRAPOWERS

Cites Work

• Square principles with tail-end agreement
• Two applications of finite side conditions at \(\omega _2\)
• SQUARES, SCALES AND STATIONARY REFLECTION
• Weakly Compact Cardinals and Nonspecial Aronszajn Trees
• Iterated Forcing and Elementary Embeddings
• Reduced powers of $ℵ_2$-trees
• Small forcing makes any cardinal superdestructible

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