Cardinal algebras of functions and integration
نویسندگان
چکیده
منابع مشابه
On incomparability and related cardinal functions on ultraproducts of Boolean algebras
Let C denote any of the following cardinal characteristics of Boolean algebras: incomparability, spread, character, π-character, hereditary Lindelöf number, hereditary density. It is shown to be consistent that there exists a sequence 〈Bi : i < κ〉 of Boolean algebras and an ultrafilter D on κ such that
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We address several questions of Donald Monk related to irredundance and spread of Boolean algebras, gaining both some ZFC knowledge and consistency results. We show in ZFC that irr(B0 × B1) = max{irr(B0), irr(B1)}. We prove consistency of the statement “there is a Boolean algebra B such that irr(B) < s(B ~ B)” and we force a superatomic Boolean algebra B∗ such that s(B∗) = inc(B∗) = κ, irr(B∗) ...
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Constructing Boolean Algebras for Cardinal Invariants
We construct Boolean Algebras answering some questions of J. Donald Monk on cardinal invariants. The results are proved in ZFC (rather than giving consistency results). We deal with the existence of superatomic Boolean Algebras with “few automorphisms”, with entangled sequences of linear orders, and with semi-ZFC examples of the non-attainment of the spread (and hL,hd).
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1971
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-71-1-77-84