More notions of forcing add a Souslin tree

DOI10.1215/00294527-2019-0011OpenAlexW3101660009WikidataQ127713225 ScholiaQ127713225MaRDI QIDQ2330504

Assaf Rinot, Ari Meir Brodsky

Publication date: 22 October 2019

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.07033

zbMATH Keywords

Prikry forcingCohen forcingsquare principleHechler forcingRadin forcingmicroscopic approachMagidor forcingoutside guessing of clubsparameterized proxy principleSouslin-tree construction

Mathematics Subject Classification ID

Trees (05C05) Consistency and independence results (03E35) Other combinatorial set theory (03E05) Other set-theoretic hypotheses and axioms (03E65)

Related Items (6)

A microscopic approach to Souslin-tree construction. II ⋮ Singularizing successor cardinals by forcing ⋮ Aronszajn trees, square principles, and stationary reflection ⋮ Souslin trees at successors of regular cardinals ⋮ REDUCED POWERS OF SOUSLIN TREES ⋮ A remark on Schimmerling's question

Cites Work

• Unnamed Item
• Square and delta reflection
• Chromatic numbers of graphs -- large gaps
• A question about Suslin trees and the weak square hierarchy
• A cofinality-preserving small forcing may introduce a special Aronszajn tree
• Partitioning pairs of countable ordinals
• The Souslin problem
• Indexed squares
• A remark on Schimmerling's question
• Higher Souslin trees and the GCH, revisited
• A microscopic approach to Souslin-tree constructions. I.
• SQUARES, SCALES AND STATIONARY REFLECTION
• REDUCED POWERS OF SOUSLIN TREES
• Diamonds
• Forcing closed unbounded sets
• Higher Souslin trees and the generalized continuum hypothesis
• Singularizing successor cardinals by forcing
• Pseudo-Prikry sequences
• Aronszajn trees, square principles, and stationary reflection
• The fine structure of the constructible hierarchy
• Sur un problème de Sikorski

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