Constructing Boolean Algebras for cardinal invariants

Saharon Shelah

doi:10.1007/s000120050219

Constructing Boolean Algebras for cardinal invariants

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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).

Original language	English
Pages (from-to)	353-373
Number of pages	21
Journal	Algebra Universalis
Volume	45
Issue number	4
DOIs	https://doi.org/10.1007/s000120050219
State	Published - 2001

Keywords

Attainment of spread
Automorphisms
Boolean algebras
Cardinal invariants of Boolean algebras
Endomorphisms
Pcf
Semi-ZFC answers
Set theory

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10.1007/s000120050219

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Constructing Boolean Algebras for cardinal invariants

Abstract

Keywords

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