Cardinal characteristics, projective wellorders and large continuum

DOI10.1016/j.apal.2012.12.001zbMath1432.03088OpenAlexW1969761875MaRDI QIDQ385067

Lyubomyr Zdomskyy, Vera Fischer, Sy-David Friedman

Publication date: 29 November 2013

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

Full work available at URL: https://doi.org/10.1016/j.apal.2012.12.001

zbMATH Keywords

Martin's axiomcodinglarge continuumcardinal characteristicsprojective wellorders

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Cardinal characteristics of the continuum (03E17) Other classical set theory (including functions, relations, and set algebra) (03E20)

Related Items (8)

On the ‘definability of definable’ problem of Alfred Tarski, Part II ⋮ The full basis theorem does not imply analytic wellordering ⋮ Co-analytic mad families and definable wellorders ⋮ Measure, category and projective wellorders ⋮ A good lightface \(\varDelta_n^1\) well-ordering of the reals does not imply the existence of boldface \(\mathbf{\Delta}_{n - 1}^1\) well-orderings ⋮ COHERENT SYSTEMS OF FINITE SUPPORT ITERATIONS ⋮ Δ₁-Definability of the non-stationary ideal at successor cardinals ⋮ Definable towers

Cites Work

• Unnamed Item
• Projective wellorders and mad families with large continuum
• Mob families and mad families
• Fine structure and class forcing
• Combinatorial Cardinal Characteristics of the Continuum
• The consistency of b=κ and s=κ⁺
• A general Mitchell style iteration
• On the combinatorial principle P(c)
• Long projective wellorderings
• On the cofinality of the smallest covering of the real line by meager sets
• The Kunen-Miller chart (Lebesgue measure, the Baire property, Laver reals and preservation theorems for forcing)

This page was built for publication: Cardinal characteristics, projective wellorders and large continuum