On Shattering, Splitting and Reaping Partitions

DOI10.1002/malq.19980440109zbMath0896.03036arXivmath/0109099OpenAlexW1998711221MaRDI QIDQ4379632

Lorenz Halbeisen

Publication date: 1 October 1998

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

Full work available at URL: https://arxiv.org/abs/math/0109099

zbMATH Keywords

cardinal invariantspartition propertiesdual-Mathias forcingdualizations

Mathematics Subject Classification ID

Partitions of sets (05A18) Consistency and independence results (03E35) Other combinatorial set theory (03E05) Model-theoretic forcing (03C25)

Related Items (6)

The space of infinite partitions of $\mathbb{N}$ as a topological Ramsey space ⋮ Partition numbers ⋮ Around splitting and reaping for partitions of \(\omega \) ⋮ Ultrafilter spaces on the semilattice of partitions ⋮ Converse dual cardinals ⋮ Dualization of the van Douwen diagram

Cites Work

• Set theory. An introduction to independence proofs. 2nd print

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