Cohen-stable families of subsets of integers

DOI10.2307/2694920zbMath0981.03049OpenAlexW2107904426MaRDI QIDQ2732277

Miloš S. Kurilić

Publication date: 11 March 2002

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

Full work available at URL: https://doi.org/10.2307/2694920

zbMATH Keywords

maximal almost disjoint familyCohen forcingmad familiessplitting familiesCohen extension

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (15)

Splitting families and forcing ⋮ Indestructibility of ideals and MAD families ⋮ RESTRICTED MAD FAMILIES ⋮ PARTITION FORCING AND INDEPENDENT FAMILIES ⋮ New examples of MAD families with pseudocompact hyperspaces ⋮ Projective mad families ⋮ Ordering MAD families a la Katětov ⋮ GENERIC EXISTENCE OF MAD FAMILIES ⋮ Forcing indestructibility of MAD families ⋮ Mad families, forcing and the Suslin hypothesis ⋮ The ultrafilter and almost disjointness numbers ⋮ Selection principles in the Laver, Miller, and Sacks models ⋮ Covering properties of \(\omega\)-mad families ⋮ 2005 Summer Meeting of the Association for Symbolic Logic. Logic Colloquium '05 ⋮ MAD families and strategically bounding forcings

Cites Work

• Set theory. An introduction to independence proofs
• Splittings
• A model of set-theory in which every set of reals is Lebesgue measurable
• Short complete nested sequences in βN⧹N and small maximal almost-disjoint families

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