Partition numbers

DOI10.1016/S0168-0072(97)00038-9zbMath0891.03019OpenAlexW4213019076MaRDI QIDQ1377609

Otmar Spinas

Publication date: 8 July 1998

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-0072(97)00038-9

zbMATH Keywords

dominating numberpartial orderPolish spacedistributivity numberpartition numberMathias forcingMiller forcinglattice of partitions

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Consistency and independence results (03E35) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Other combinatorial set theory (03E05)

Related Items (11)

RESTRICTED MAD FAMILIES ⋮ PARTITION FORCING AND INDEPENDENT FAMILIES ⋮ The Borel partition spectrum at successors of singular cardinals ⋮ Playing with Mathias ⋮ Around splitting and reaping for partitions of \(\omega \) ⋮ Ultrafilter spaces on the semilattice of partitions ⋮ Converse dual cardinals ⋮ Antichains of perfect and splitting trees ⋮ Parametrized $\diamondsuit $ principles ⋮ Dualization of the van Douwen diagram ⋮ MAD families and strategically bounding forcings

Cites Work

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• Set theory. An introduction to independence proofs
• Proper forcing
• On the consistency of Borel's conjecture
• Partitioning products of \({\mathcal P} (\omega)/\text{fin}\)
• Splittings
• Adjoining dominating functions
• On the combinatorial principle P(c)
• Partitions and filters
• Happy families
• Families of sets and functions
• Countable filters on ω
• On Shattering, Splitting and Reaping Partitions
• The distributivity numbers of $\mathcal {P}(\omega )$/fin and its square
• On some problems of Hausdorff and of Sierpiński

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