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Two Boolean Algebras with Extreme Cellular and Compactness Properties

Published online by Cambridge University Press:  20 November 2018

Murray Bell
Murray Bell*
Affiliation:
The University of Manitoba, Winnipeg, Manitoba
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In this paper, we construct two kinds of Boolean algebras with extreme cellular properties and nice embedding properties. The extreme cellular properties are a σ — j-linked but not σ — j + 1-linked and ccc but not σ — 2-linked. The nice embedding properties are that they are ZF-definable subalgebras of both P/F and R (see Preliminaries for notation). It is the author's opinion that R contains much of the “ZF-strength” of P/F.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 35 , Issue 5 , 01 October 1983 , pp. 824 - 838
Copyright
Copyright © Canadian Mathematical Society 1983

References

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