Free sequences in \({\mathscr{P}}( \omega) /\mathrm{fin}\)

DOI10.1007/s00153-019-00675-wzbMath1455.03062arXiv1808.05930OpenAlexW2943500089MaRDI QIDQ2274146

Jan Grebík, David Chodounský, Vera Fischer

Publication date: 19 September 2019

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.05930

zbMATH Keywords

ultrafilter number\(\mathcal{P}(\omega)/\mathrm{fin}\)maximal free sequenceparty forcing

Mathematics Subject Classification ID

Consistency and independence results (03E35) Cardinal characteristics of the continuum (03E17) Structure theory of Boolean algebras (06E05)

Related Items (6)

The ultrafilter number and ⋮ HIGHER INDEPENDENCE ⋮ PARTITION FORCING AND INDEPENDENT FAMILIES ⋮ Cohen preservation and independence ⋮ IDEAL INDEPENDENT FAMILIES AND THE ULTRAFILTER NUMBER ⋮ MAD families and strategically bounding forcings

Cites Work

• On minimal \(\pi\)-character of points in extremally disconnected compact spaces
• CON(\(\mathfrak u>\mathfrak i\))
• Ramsey ultrafilters and the reaping number - Con(\({\mathfrak r}<{\mathfrak u}\))
• Free sequences
• Orders of π-Bases
• Some Properties of Measure and Category
• Compact subsets of the first Baire class
• Ideal independence, free sequences, and the ultrafilter number
• The ultrafilter number and
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