Diamond principles in Cichoń's diagram

DOI10.1007/S00153-004-0269-4zbMath1079.03036OpenAlexW2015621892MaRDI QIDQ1778067

Hiroaki Minami

Publication date: 26 May 2005

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-004-0269-4

zbMATH Keywords

Borel setsiterated forcingcardinal invariantfinite support iterationdiamond principleparametrized diamond

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17) Other set-theoretic hypotheses and axioms (03E65)

Related Items (1)

IDEAL INDEPENDENT FAMILIES AND THE ULTRAFILTER NUMBER

Cites Work

• Set theory. An introduction to independence proofs. 2nd print
• Cardinal invariants of the continuum and combinatorics on uncountable cardinals
• A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
• Fragments of Martin's axiom and \(\Delta_ 3^ 1\) sets of reals
• More set-theory for topologists
• Another ♦-like principle
• Connections between different amoeba algebras
• Parametrized $\diamondsuit $ principles
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