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- W2054505259 abstract "We prove that any Boolean algebra with the subsequential completeness property contains an independent family of size continuum. This improves a result of Argyros from the 80ties which asserted the existence of an uncountable independent family. In fact we prove it for a bigger class of Boolean algebras satisfying much weaker properties. It follows that the Stone spaces of all such Boolean algebras contains a copy of the Cech-Stone compactification of the integers and the Banach space of contnuous functions on them has $l_infty$ as a quotient. Connections with the Grothendieck property in Banach spaces are discussed." @default.
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- W2054505259 date "2012-09-02" @default.
- W2054505259 modified "2023-09-25" @default.
- W2054505259 title "Independent families in Boolean algebras with some separation properties" @default.
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