More on Cardinal Invariants of Boolean Algebras

@article{Roslanowski2000MoreOC,
  title={More on Cardinal Invariants of Boolean Algebras},
  author={Andrzej Roslanowski and Saharon Shelah},
  journal={Ann. Pure Appl. Log.},
  year={2000},
  volume={103},
  pages={1-37}
}
  • Andrzej Roslanowski, Saharon Shelah
  • Published in Ann. Pure Appl. Log. 2000
  • Mathematics, Computer Science
  • Abstract We address several questions of Donald Monk related to irredundance and spread of Boolean algebras, gaining both some ZFC knowledge and consistency results. We show in ZFC that irr ( B 0 × B 1 )= max { irr ( B 0 ), irr ( B 1 )} . We prove consistency of the statement “there is a Boolean algebra B such that irr ( B ) B ⊛ B ) ” and we force a superatomic Boolean algebra B ∗ such that s( B ∗ )= inc ( B ∗ )=κ , irr ( B ∗ )= Id ( B ∗ )=κ + and Sub ( B ∗ )=2 κ + . Next we force a superatomic… CONTINUE READING

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