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A Set of Independent Axioms for Boolean Algebra

✍ Scribed by Dicker, R. M.


Book ID
120102065
Publisher
Oxford University Press
Year
1963
Tongue
English
Weight
237 KB
Volume
s3-13
Category
Article
ISSN
0024-6115

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If Γ„ ΒΏ ! is a cardinal, a complete Boolean algebra B is called Γ„-dependent if for each sequence b ΓΏ : ΓΏ Β‘ Γ„ of elements of B there exists a partition of the unity, P, such that each p ∈ P extends b ΓΏ or b ΓΏ , for Γ„-many ΓΏ ∈ Γ„. The connection of this property with cardinal functions, distributivity l