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- Title
Questions on cardinal invariants of Boolean algebras.
- Authors
Santos, Mario Jardón
- Abstract
In the book Cardinal Invariants on Boolean Algebras by J. Donald Monk many such cardinal functions are defined and studied. Among them several are generalizations of well known cardinal characteristics of the continuum. Alongside a long list of open problems is given. Focusing on half a dozen of those cardinal invariants some of those problems are given an answer here, which in most of the cases is a definitive one. Most of them can be divided in two groups. The problems of the first group ask about the change on those cardinal functions when going from a given infinite Boolean algebra to its simple extensions, while in the second group the comparison is between a couple of given infinite Boolean algebras and their free product.
- Subjects
BOOLEAN algebra; GENERALIZATION; MONKS
- Publication
Archive for Mathematical Logic, 2023, Vol 62, Issue 7/8, p947
- ISSN
0933-5846
- Publication type
Article
- DOI
10.1007/s00153-023-00872-8