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Canadian Journal of Mathematics Canadian Journal of Mathematics

Article contents

Densities of Ultraproducts of Boolean Algebras

Published online by Cambridge University Press:  20 November 2018

Sabine Koppelberg  and
Saharon Shelah
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
E-mail address:
sabina@math.fu-berlin.de
shelah@math.huji.ac.il
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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.

Keywords

03C20 03E10 06E05 Boolean algebra ultraproduct density π-weight
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 47 , Issue 1 , 01 February 1995 , pp. 132 - 145
Copyright
Copyright © Canadian Mathematical Society 1995

References

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