Generalized Martin's Axiom and Souslin's hypothesis for higher cardinals

S. Shelah*, L. Stanley

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

We consider different generalizations of Martin's Axiom to higher cardinals. For א1, assuming CH+2א 12+□א1 we show that a generalized Martin's Axiom considered by Baumgartner settles the א2 Souslin Hypothesis ... the wrong way. We further show that, assuming CH+2א 12, a strengthening of this axiom implies □א 1. Finally, we show that a seemingly innocuous further strengthening is inconsistent with CH+2א 12.

Original languageEnglish
Pages (from-to)225-236
Number of pages12
JournalIsrael Journal of Mathematics
Volume43
Issue number3
DOIs
StatePublished - Sep 1982

Fingerprint

Dive into the research topics of 'Generalized Martin's Axiom and Souslin's hypothesis for higher cardinals'. Together they form a unique fingerprint.

Cite this