Analytic ideals and cofinal types

DOI10.1016/S0168-0072(98)00065-7zbMath0934.03061MaRDI QIDQ1304545

Alain Louveau, Boban Velickovic

Publication date: 22 November 1999

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

zbMATH Keywords

Banach spacesPolish spaceTukey reducibilityanalytic idealscofinal types

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (19)

Baire theorem for ideals of sets ⋮ Comparison game on trace ideal ⋮ DENSITY-LIKE AND GENERALIZED DENSITY IDEALS ⋮ The Tukey order and subsets of \(\omega_1\) ⋮ Remarks on ideal boundedness, convergence and variation of sequences ⋮ WAYS OF DESTRUCTION ⋮ Cofinal types of ultrafilters ⋮ Analytic P-ideals and Banach spaces ⋮ Topological spaces with an $\omega^{\omega}$-base ⋮ Avoiding families and Tukey functions on the nowhere-dense ideal ⋮ Cofinalities of Borel ideals ⋮ TUKEY ORDER AMONG IDEALS ⋮ Tukey classification of some ideals on \(\omega\) and the lattices of weakly compact sets in Banach spaces ⋮ Infinite dimensional perfect set theorems ⋮ On a \(\sigma \)-ideal of compact sets ⋮ Cofinal types of topological directed orders. ⋮ On the structure of Borel ideals in-between the ideals \(\mathcal{ED}\) and fin \(\otimes\) fin in the Katětov order ⋮ A \(G_\delta \) ideal of compact sets strictly above the nowhere dense ideal in the Tukey order ⋮ THE TUKEY ORDER ON COMPACT SUBSETS OF SEPARABLE METRIC SPACES

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