Meeting, covering and Shelah's revised GCH

DOI10.1016/J.TOPOL.2024.109044MaRDI QIDQ6611774

Pierre Matet

Publication date: 27 September 2024

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

covering numbersclub principleShelah's strong hypothesismeeting numbersrevised GCH theorem

Mathematics Subject Classification ID

Other combinatorial set theory (03E05) Ordered sets and their cofinalities; pcf theory (03E04)

Cites Work

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• Two cardinal versions of diamond
• Cardinalities of topologies with small base
• On some configurations related to the Shelah Weak Hypothesis
• PCF and infinite free subsets in an algebra
• Further cardinal arithmetic
• The generalized continuum hypothesis revisited
• Towers and clubs
• The secret life of \(\mu\)-clubs
• More on the revised GCH and the black box
• Large cardinals and covering numbers
• A topological reflection principle equivalent to Shelah’s strong hypothesis
• Diamonds
• Logical dreams
• Extender-based forcings with overlapping extenders and negations of the Shelah Weak Hypothesis
• APPLICATIONS OF PCF THEORY TO THE STUDY OF IDEALS ON
• The failure of diamond on a reflecting stationary set
• Meeting numbers and pseudopowers

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