Martin’s maximum and weak square

DOI10.1090/S0002-9939-2011-10730-5zbMath1270.03098OpenAlexW2047749486MaRDI QIDQ3092859

Menachem Magidor, James Cummings

Publication date: 11 October 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-10730-5

zbMATH Keywords

forcing axiomMartin's maximumweak square principle

Mathematics Subject Classification ID

Large cardinals (03E55) Generic absoluteness and forcing axioms (03E57)

Related Items (15)

Forcing axioms and the Galvin number ⋮ The \(\ast\)-variation of the Banach-Mazur game and forcing axioms ⋮ A microscopic approach to Souslin-tree constructions. I. ⋮ Weak square and stationary reflection ⋮ Strong Chang’s Conjecture, Semi-Stationary Reflection, the Strong Tree Property and two-cardinal square principles ⋮ REDUCED POWERS OF SOUSLIN TREES ⋮ Diagonal reflections on squares ⋮ Good and bad points in scales ⋮ HIERARCHIES OF FORCING AXIOMS, THE CONTINUUM HYPOTHESIS AND SQUARE PRINCIPLES ⋮ HIERARCHIES OF (VIRTUAL) RESURRECTION AXIOMS ⋮ Inner models from extended logics: Part 1 ⋮ Canonical fragments of the strong reflection principle ⋮ P-ideal dichotomy and weak squares ⋮ Knaster and friends II: The C-sequence number ⋮ The semi-weak square principle

Cites Work

• Martin's maximum, saturated ideals, and nonregular ultrafilters. I
• Indexed squares
• Combinatorial principles in the core model for one Woodin cardinal
• Saturated filters at successors of singulars, weak reflection and yet another weak club principle
• SQUARES, SCALES AND STATIONARY REFLECTION
• The non-compactness of square
• Strong axioms of infinity and elementary embeddings
• A very weak square principle
• A consistency result on weak reflection
• The proper forcing axiom and the singular cardinal hypothesis
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