Projective wellorders and mad families with large continuum

DOI10.1016/j.apal.2011.04.001zbMath1267.03049OpenAlexW2022460137MaRDI QIDQ639683

Lyubomyr Zdomskyy, Vera Fischer, Sy-David Friedman

Publication date: 22 September 2011

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.2011.04.001

zbMATH Keywords

codinglarge continuumprojective mad familiesprojective well-ordering

Mathematics Subject Classification ID

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

Related Items

TREE FORCING AND DEFINABLE MAXIMAL INDEPENDENT SETS IN HYPERGRAPHS ⋮ Definability and almost disjoint families ⋮ Co-analytic mad families and definable wellorders ⋮ Measure, category and projective wellorders ⋮ Cardinal characteristics, projective wellorders and large continuum ⋮ Projective well orders and coanalytic witnesses ⋮ Cichoń's diagram, regularity properties and \(\varDelta^1_3\) sets of reals ⋮ A definable failure of the singular cardinal hypothesis ⋮ PARTITION FORCING AND INDEPENDENT FAMILIES ⋮ COHERENT SYSTEMS OF FINITE SUPPORT ITERATIONS ⋮ Δ₁-Definability of the non-stationary ideal at successor cardinals ⋮ Borel Conjecture, dual Borel Conjecture, and other variants of the Borel Conjecture ⋮ Definable towers

Cites Work

• Cardinal characteristics and projective wellorders
• Projective mad families
• Combinatorial Cardinal Characteristics of the Continuum
• Iterated Forcing and Elementary Embeddings
• Mad families, splitting families and large continuum
• A very absolute Π21 real singleton
• Long projective wellorderings