A Laver-like indestructibility for hypermeasurable cardinals
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Publication:1734256
DOI10.1007/s00153-018-0637-0zbMath1477.03210OpenAlexW2811366992MaRDI QIDQ1734256
Publication date: 27 March 2019
Published in: Archive for Mathematical Logic (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00153-018-0637-0
Related Items
Negating the Galvin property, Capturing sets of ordinals by normal ultrapowers, The tree property at $\aleph _{\omega +2}$ with a finite gap, Small \(\mathfrak{u}(\kappa )\) at singular \(\kappa\) with compactness at \(\kappa^{++}\)
Cites Work
- A lifting argument for the generalized Grigorieff forcing
- Fusion and large cardinal preservation
- Aronszajn trees on \(\aleph_2\) and \(\aleph_3\).
- On certain indestructibility of strong cardinals and a question of Hajnal
- The negation of the singular cardinal hypothesis from \(o(\kappa)=\kappa ^{++}\)
- Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
- Possible values for \(2^{\aleph_n}\) and \(2^{\aleph_\omega}\)
- The tree property
- The lottery preparation
- The tree property at the \(\aleph_{2 n}\)'s and the failure of SCH at \(\aleph_\omega\)
- Iterated Forcing and Elementary Embeddings
- Perfect trees and elementary embeddings
- Perfect-set forcing for uncountable cardinals
- A Model in Which GCH Holds at Successors but Fails at Limits
- Strong Cardinals can be Fully Laver Indestructible
- The tree property at $\aleph _{\omega +2}$ with a finite gap
- A power function with a fixed finite gap everywhere
- Strongly unfoldable cardinals made indestructible
- Aronszajn trees and the independence of the transfer property
