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Densities of Ultraproducts of Boolean Algebras

Published online by Cambridge University Press:  20 November 2018

Sabine Koppelberg
Affiliation:
2. Mathematisches Institut der FU Berlin Arnimalee 3 14195 Berlin Germany sabina email: sabina@math.fu-berlin.de
Saharon Shelah
Affiliation:
Department of Mathematics Hebrew University Jerusalem, 910904 Israel email: shelah@math.huji.ac.il
Corresponding
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Abstract

We answer three problems by J. D. Monk on cardinal invariants of Boolean algebras. Two of these are whether taking the algebraic density πA resp. the topological density cL4 of a Boolean algebra A commutes with formation of ultraproducts; the third one compares the number of endomorphisms and of ideals of a Boolean algebra.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1995

References

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