Abstract
We consider different generalizations of Martin's Axiom to higher cardinals. For א1, assuming CH+2א 1>א2+□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 1>א2, a strengthening of this axiom implies □א 1. Finally, we show that a seemingly innocuous further strengthening is inconsistent with CH+2א 1>א2.
| Original language | English |
|---|---|
| Pages (from-to) | 225-236 |
| Number of pages | 12 |
| Journal | Israel Journal of Mathematics |
| Volume | 43 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 1982 |