Combinatorial principles on \(\omega_{1}\), cardinal invariants of the meager ideal and destructible gaps

DOI10.2969/JMSJ/1150287311zbMath1083.03043OpenAlexW2047821742MaRDI QIDQ2583064

Teruyuki Yorioka

Publication date: 13 January 2006

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

Full work available at URL: https://doi.org/10.2969/jmsj/1150287311

zbMATH Keywords

combinatorial principleCohen forcingcardinal invariant of the continuumdestructible gapcofinality of the meager idealcovering of the meager idealOstaszewski's club-principlestick-principle

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17)

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The diamond principle for the uniformity of the meager ideal implies the existence of a destructible gap

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