Fallen cardinals

DOI10.1016/S0168-0072(01)00045-8zbMath0989.03050arXivmath/0009079OpenAlexW4210624263MaRDI QIDQ5940148

Menachem Kojman, Saharon Shelah

Publication date: 14 July 2002

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

Full work available at URL: https://arxiv.org/abs/math/0009079

zbMATH Keywords

complete Boolean algebraBaire numbercollapse algebracomplete subalgebradistributivity numbernowhere distributivitypcf theoryquotient algebrasingular cardinal

Mathematics Subject Classification ID

Chain conditions, complete algebras (06E10) Other aspects of forcing and Boolean-valued models (03E40) Ordered sets and their cofinalities; pcf theory (03E04)

Related Items (1)

The name for Kojman-Shelah collapsing function

Cites Work

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• Exact upper bounds and their uses in set theory
• The PCF trichotomy theorem does not hold for short sequences
• Baire number of the spaces of uniform ultrafilters
• The space of ultrafilters on N covered by nowhere dense sets
• Completion of Factor Algebras of Ideals
• Cardinal arithmetic for skeptics
• Nonexistence of universal orders in many cardinals
• Almost-disjoint sets the dense set problem and the partition calculus
• Collapsing successors of singulars
• A ZFC Dowker space in ℵ_{𝜔+1}: An application of pcf theory to topology
• A normal space X for which X×I is not normal

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