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ON THE BAIRE NUMBER OF THE STONE SPACE OF [Pscr ](ω)/fin

Published online by Cambridge University Press:  01 January 1997

OTMAR SPINAS
OTMAR SPINAS
Affiliation:
Department of Mathematics, University of California, Irvine, CA 92717, USA
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Abstract

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 [Pscr ](ω)/fin equals the distributivity number of [Pscr ](ω)/fin. This answers a question of Balcar, Pelant and Simon in [1].

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 29 , Issue 1 , January 1997 , pp. 93 - 97
Copyright
© The London Mathematical Society 1997

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