scientific article; zbMATH DE number 1295193

zbMath0941.03052arXivmath/9802134MaRDI QIDQ4248070

Saharon Shelah

Publication date: 25 June 2000

Full work available at URL: https://arxiv.org/abs/math/9802134

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zbMATH Keywords

Borel setCohen realsanalytic setperfect squareMartin's AxiomHanf numbersBorel rectanglesrectangle containment

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05) Set-theoretic model theory (03C55)

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Beginning of stability theory for Polish spaces ⋮ Perfect independent sets with respect to infinitely many relations ⋮ Not so many non-disjoint translations ⋮ Analytic colorings ⋮ Kurepa trees and spectra of \(\mathcal{L}_{\omega_1, \omega}\)-sentences ⋮ An improper arithmetically closed Borel subalgebra of \(\mathcal P(\omega)\) mod FIN ⋮ HENKIN CONSTRUCTIONS OF MODELS WITH SIZE CONTINUUM ⋮ Infinite dimensional perfect set theorems ⋮ Notes on cardinals that are characterizable by a complete (Scott) sentence ⋮ Weak Borel chromatic numbers ⋮ Hypergraphs and proper forcing ⋮ Covering an uncountable square by countably many continuous functions ⋮ Convex decompositions in the plane and continuous pair colorings of the irrationals ⋮ Scrambled Cantor sets ⋮ Perfect cliques and $G_\delta $ colorings of Polish spaces

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