Ramsey for R1 ultrafilter mappings and their Dedekind cuts

DOI10.1002/MALQ.201300078zbMath1373.03078arXiv1401.2835OpenAlexW1956764104MaRDI QIDQ2947233

Timothy Trujillo

Publication date: 22 September 2015

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.2835

zbMATH Keywords

Ramsey ultrafilterDedekind cutp-pointsTukey typeRudin-Keisler types

Mathematics Subject Classification ID

Ramsey theory (05D10) Other combinatorial set theory (03E05) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Partition relations (03E02)

Related Items (4)

Local Ramsey theory: an abstract approach ⋮ Topological Ramsey spaces and metrically Baire sets ⋮ Triangular Ramsey Numbers ⋮ Selective but not Ramsey

Cites Work

• Unnamed Item
• Tukey types of ultrafilters
• Cofinal types of ultrafilters
• Forcing with filters and complete combinatorics
• On Galvin's lemma and Ramsey spaces
• Tukey classes of ultrafilters on omega
• A new proof that analytic sets are Ramsey
• Ultrafilter Mappings and Their Dedekind Cuts
• A new class of Ramsey-classification theorems and their applications in the Tukey theory of ultrafilters, Part 2
• Survey on the Tukey theory of ultrafilters
• A notion of selective ultrafilter corresponding to topological Ramsey spaces
• A new class of Ramsey-classification theorems and their application in the Tukey theory of ultrafilters, Part 1
• The Category of Cofinal Types. II
• Ultrafilters on a countable set

This page was built for publication: Ramsey for R1 ultrafilter mappings and their Dedekind cuts