Avoiding families and Tukey functions on the nowhere-dense ideal

DOI10.1017/S1474748010000277zbMath1221.03043OpenAlexW2105684493MaRDI QIDQ2999444

Slawomir Solecki, Stevo Todorčević

Publication date: 13 May 2011

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1474748010000277

zbMATH Keywords

analytic P-idealsTukey reductionsnowhere-dense sets

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Descriptive set theory (03E15) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Other combinatorial set theory (03E05)

Related Items (9)

DENSITY-LIKE AND GENERALIZED DENSITY IDEALS ⋮ The Tukey order and subsets of \(\omega_1\) ⋮ WAYS OF DESTRUCTION ⋮ Cofinal types on ω₂ ⋮ Two inequalities between cardinal invariants ⋮ Ideals of subseries convergence and \(F\)-spaces ⋮ TUKEY ORDER AMONG IDEALS ⋮ REPRESENTATIONS OF IDEALS IN POLISH GROUPS AND IN BANACH SPACES ⋮ THE TUKEY ORDER ON COMPACT SUBSETS OF SEPARABLE METRIC SPACES

Cites Work

• On a \(\sigma \)-ideal of compact sets
• A \(G_\delta \) ideal of compact sets strictly above the nowhere dense ideal in the Tukey order
• The strength of measurability hypotheses
• Analytic ideals and their applications
• Analytic ideals and cofinal types
• Cofinal types of topological directed orders.
• Additivity of Measure Implies Additivity of Category
• Directed Sets and Cofinal Types
• A Classification of Transitive Relations on ω₁
• Seven Cofinal Types

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