Partitions and filters

DOI10.2307/2273937zbMath0588.04011OpenAlexW2084193616MaRDI QIDQ3715119

Pierre Matet

Publication date: 1986

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2273937

zbMATH Keywords

continuum hypothesisCarlson-Simpson theoremdual Galvin-Prikry theorem

Mathematics Subject Classification ID

Lattice ideals, congruence relations (06B10) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05)

Related Items (11)

The space of infinite partitions of $\mathbb{N}$ as a topological Ramsey space ⋮ Subgroups of \(\mathrm{SF}(\omega)\) and the relation of almost containedness ⋮ Splittings ⋮ Partition numbers ⋮ Exactly two and exactly three near-coherence classes ⋮ Increasing the groupwise density number by c.c.c. forcing ⋮ Around splitting and reaping for partitions of \(\omega \) ⋮ Ultrafilter spaces on the semilattice of partitions ⋮ STABLE ORDERED UNION ULTRAFILTERS AND cov ⋮ The near coherence of filters principle does not imply the filter dichotomy principle ⋮ Ramsey degrees of ultrafilters, pseudointersection numbers, and the tools of topological Ramsey spaces

Cites Work

• A dual form of Ramsey's theorem
• Happy families
• Internal cohen extensions
• Ultrafilters on a countable set

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