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Kurepa trees and Namba forcing

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Publication:4899174
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DOI10.2178/jsl.7704130zbMath1270.03095arXivmath/0605130OpenAlexW1988791532MaRDI QIDQ4899174

Bernhard König, Yasuo Yoshinobu

Publication date: 7 January 2013

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605130


zbMATH Keywords

strongly compact cardinalsMartin's maximumKurepa trees


Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other aspects of forcing and Boolean-valued models (03E40) Generic absoluteness and forcing axioms (03E57)


Related Items (4)

The \(\ast\)-variation of the Banach-Mazur game and forcing axioms ⋮ Operations, climbability and the proper forcing axiom ⋮ Preservation theorems for Namba forcing ⋮ Almost Souslin Kurepa trees



Cites Work

  • Martin's maximum, saturated ideals, and nonregular ultrafilters. I
  • On certain indestructibility of strong cardinals and a question of Hajnal
  • Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
  • The axiom of determinacy, forcing axioms, and the nonstationary ideal
  • Local coherence.
  • The size of \(\widetilde T\)
  • Fragments of Martin's Maximum in generic extensions


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