Survey on the Tukey theory of ultrafilters

zbMath1474.03114arXiv1401.8108MaRDI QIDQ5279170

Natasha Dobrinen

Publication date: 19 July 2017

Full work available at URL: https://arxiv.org/abs/1401.8108

zbMATH Keywords

ultrafiltercofinal typeTukeyRudin-KeislerRamsey-classification

Mathematics Subject Classification ID

Generalized Ramsey theory (05C55) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17) Partition relations (03E02)

Related Items (11)

Spectra of Tukey types of ultrafilters on Boolean algebras ⋮ Infinite-dimensional Ellentuck spaces and Ramsey-classification theorems ⋮ COMBINATORICS OF ULTRAFILTERS ON COHEN AND RANDOM ALGEBRAS ⋮ Tukey types of ultrafilters ⋮ Topological Ramsey spaces from Fraïssé classes, Ramsey-classification theorems, and initial structures in the Tukey types of \(p\)-points ⋮ Ramsey for R1 ultrafilter mappings and their Dedekind cuts ⋮ Continuous and other finitely generated canonical cofinal maps on ultrafilters ⋮ A new class of Ramsey-classification theorems and their application in the Tukey theory of ultrafilters, Part 1 ⋮ Between homeomorphism type and Tukey type ⋮ There are no P-points in Silver extensions ⋮ Orderings of ultrafilters on Boolean algebras

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