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σ‐short Boolean algebras
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AbstractWe introduce properties of Boolean algebras which are closely related to the existence of winning strategies in the Banach‐Mazur Boolean game. A σ‐short Boolean algebra is a Boolean algebra that has a dense subset in which every strictly descending sequence of length ω does not have a nonzero lower bound. We give a characterization of σ‐short Boolean algebras and study properties of σ‐short Boolean algebras. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Title: σ‐short Boolean algebras
Description:
AbstractWe introduce properties of Boolean algebras which are closely related to the existence of winning strategies in the Banach‐Mazur Boolean game.
A σ‐short Boolean algebra is a Boolean algebra that has a dense subset in which every strictly descending sequence of length ω does not have a nonzero lower bound.
We give a characterization of σ‐short Boolean algebras and study properties of σ‐short Boolean algebras.
(© 2003 WILEY‐VCH Verlag GmbH & Co.
KGaA, Weinheim).
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