On some properties of Shelah cardinals

DOI10.1007/S41980-018-0075-0OpenAlexW2964085701MaRDI QIDQ1734111

Ali Sadegh Daghighi, Massoud Pourmahdian

Publication date: 22 March 2019

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

Full work available at URL: https://arxiv.org/abs/1708.03505

zbMATH Keywords

small forcingfast function forcinglaver diamond principleShelah cardinal

Mathematics Subject Classification ID

Large cardinals (03E55) Other combinatorial set theory (03E05)

Cites Work

• An Easton like theorem in the presence of Shelah cardinals
• Large cardinals imply that every reasonably definable set of reals is Lebesgue measurable
• On certain indestructibility of strong cardinals and a question of Hajnal
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• Destruction or preservation as you like it
• Measurable cardinals and the continuum hypothesis
• The lottery preparation
• Witnessing numbers of Shelah Cardinals
• Small forcing creates neither strong nor Woodin cardinals
• Extensions with the approximation and cover properties have no new large cardinals

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