Martin's axiom and ordinal graphs: Large independent sets or infinite paths

DOI10.1016/0168-0072(90)90015-TzbMath0703.03029OpenAlexW72491689WikidataQ114684040 ScholiaQ114684040MaRDI QIDQ915725

Jean A. Larson

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0168-0072(90)90015-t

zbMATH Keywords

treeinfinite pathlimit ordinalsMartin's Axiomordinal graphreduction rule

Mathematics Subject Classification ID

Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05)

Related Items

Partition relations on a plain product order type ⋮ Infinite monochromatic paths and a theorem of Erdős-Hajnal-Rado ⋮ A diamond example of an ordinal graph with no infinite paths ⋮ Matchings from a set below to a set above ⋮ A GCH Example of an Ordinal Graph with no Infinite Path

Cites Work

• Combinatorial set theory
• An order type decomposition theorem
• A Consequence of No Short Scale for Ordinal Graphs with No Infinite Paths
• Unnamed Item
• Unnamed Item
• Unnamed Item