Constructing Boolean algebras for cardinal invariants

Mathematics – Logic

Scientific paper

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Scientific paper

We construct Boolean Algebras answering questions of 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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