On the Baire Number of the Stone Space of P(ω)/fin

Otmar Spinas · Bulletin of the London Mathematical Society · 1997

We prove that it is consistent with the axioms of ZFC, relative to the consistency of ZFC itself, that the Baire number of the Stone representation space of the Boolean algebra P(ω)/fin equals the distributivity number of P(ω)/fin. This answers a question of Balcar, Pelant and Simon in [1]. 1991 Mathematics Subject Classification 54A25, 03E35.

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