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SH plus CH does not imply stationary antichains.

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Publication:1412838
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DOI10.1016/S0168-0072(03)00057-5zbMath1046.03030MaRDI QIDQ1412838

Chaz Schlindwein

Publication date: 25 November 2003

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


zbMATH Keywords

continuum hypothesisAronszajn treeproper forcingSuslin hypothesis


Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05)


Related Items

Understanding preservation theorems: Chapter VI of \textit{Proper and improper forcing}. I, Antidiamond principles and topological applications



Cites Work

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  • Suslin's hypothesis does not imply stationary antichains
  • Set theory. An introduction to independence proofs
  • Free limits of forcing and more on Aronszajn trees
  • The Souslin problem
  • Iterated Cohen extensions and Souslin's problem
  • Proper Forcing
  • Kurepa's hypothesis and the continuum
  • Adding a closed unbounded set
  • ℵ1-TREES
  • Consistency of Suslin's hypothesis, a nonspecial Aronszajn tree, and GCH
  • First countable, countably compact spaces and the continuum hypothesis
  • SOUSLIN'S PROBLEM
  • Embedding Trees in the Rationals
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