Critical Cardinalities and Additivity Properties of Combinatorial Notions of Smallness

DOI10.1515/JAA.2003.149zbMath1052.03026arXivmath/0304019MaRDI QIDQ4467297

Saharon Shelah, Boaz Tsaban

Publication date: 9 June 2004

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0304019

zbMATH Keywords

splitting numberdominancetoweradditivity numberdiagonalization of covers

Mathematics Subject Classification ID

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

Related Items (6)

The combinatorics of splittability ⋮ The linear refinement number and selection theory ⋮ The combinatorics of \(\tau\)-covers ⋮ On the length of chains of proper subgroups covering a topological group ⋮ Covering the Baire space by families which are not finitely dominating ⋮ Selective covering properties of product spaces, II: $\gamma $ spaces

Cites Work

• Cofinalities of countable ultraproducts: The existence theorem
• There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed
• Countable ultraproducts without CH
• Non-isomorphic hyper-real fields from non-isomorphic ultrapowers
• The combinatorics of Borel covers
• Splittings
• On the cofinality of ultrapowers
• Groupwise dense families

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