説明
<jats:title>Abstract</jats:title><jats:p>We investigate the structure of ultrafilters on Boolean algebras in the framework of Tukey reducibility. In particular, this paper provides several techniques to construct ultrafilters which are not Tukey maximal. Furthermore, we connect this analysis with a cardinal invariant of Boolean algebras, the ultrafilter number, and prove consistency results concerning its possible values on Cohen and random algebras.</jats:p>
収録刊行物
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- The Journal of Symbolic Logic
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The Journal of Symbolic Logic 87 (1), 109-126, 2021-02-15
Cambridge University Press (CUP)
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キーワード
詳細情報 詳細情報について
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- CRID
- 1360572092600293888
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- ISSN
- 19435886
- 00224812
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- データソース種別
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- Crossref
- KAKEN