Additivity properties of topological diagonalizations

DOI10.2178/JSL/1067620185zbMath1071.03031arXivmath/0112262OpenAlexW2118483032MaRDI QIDQ4650282

Saharon Shelah, Boaz Tsaban, Tomek Bartoszynski

Publication date: 9 February 2005

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0112262

zbMATH Keywords

selection principlesHurewicz propertyMenger propertynear coherence of filters

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results (03E35) Applications of set theory (03E75) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Other combinatorial set theory (03E05) Ordered sets and their cofinalities; pcf theory (03E04)

Related Items (8)

The combinatorics of splittability ⋮ Selective covering properties of product spaces ⋮ Products of Menger spaces in the Miller model ⋮ Hereditary topological diagonalizations and the Menger-Hurewicz Conjectures ⋮ 𝑜-bounded groups and other topological groups with strong combinatorial properties ⋮ Additivity properties of topological diagonalizations ⋮ Products of Luzin-type sets with combinatorial properties ⋮ Strong \(\gamma\)-sets and other singular spaces

Cites Work

• A diagonalization property between Hurewicz and Menger.
• \(\gamma\)-sets and other singular sets of real numbers
• Near coherence of filters. I: Cofinal equivalence of models of arithmetic
• The length of some diagonalization games
• The combinatorics of Borel covers
• The combinatorics of open covers. II
• Every Lusin set is undetermined in the point-open game
• Additivity properties of topological diagonalizations

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