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A game on Boolean algebras describing the collapse of the continuum

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Publication:1024556
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DOI10.1016/j.apal.2009.01.017zbMath1165.03039OpenAlexW2021604435MaRDI QIDQ1024556

Miloš S. Kurilić, Boris Šobot

Publication date: 17 June 2009

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2009.01.017


zbMATH Keywords

forcingBoolean algebrascontinuumgamesSuslin treescollapsing cardinals


Mathematics Subject Classification ID

Games involving topology, set theory, or logic (91A44) Consistency and independence results (03E35) Chain conditions, complete algebras (06E10) Other aspects of forcing and Boolean-valued models (03E40)




Cites Work

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  • More game-theoretic properties of Boolean algebras
  • Set theory. An introduction to independence proofs
  • On the weak distributivity game
  • Between Maharam's and von Neumann's problems
  • More on the cut and choose game
  • ccc forcing and splitting reals
  • Games and general distributive laws in Boolean algebras
  • COMPLETE CCC BOOLEAN ALGEBRAS, THE ORDER SEQUENTIAL TOPOLOGY, AND A PROBLEM OF VON NEUMANN
  • Errata to “Games and general distributive laws in Boolean algebras”
  • Power-collapsing games




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