Timeline for A Question Regarding the Powerset Size Axiom
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 23, 2014 at 6:01 | comment | added | Mohammad Golshani | Maybe the paper A Combinatorial Principle Equivalent to the Existence of Non-free Whitehead Groups by Eklof-Shelah be relevant. | |
| Oct 22, 2014 at 7:01 | comment | added | Thomas Benjamin | Is there a combinatorial principle $\mathrm X$ such that ZFC+$\mathrm X$+PSA$\vdash$"Every Whitehead group is free" and ZFC+$\mathrm X$+$\lnot$PSA$\vdash$"there exist nonfree Whitehead groups" since Mekler and Shelah show in their paper "Diamond and $\lambda$-systems that it is consistent with $2^{\aleph_0}$=$2^{\aleph_1}$ that every Whitehead group is free? This might address Prof. Hamkins' concern that my question does not make sense. | |
| Oct 9, 2014 at 4:09 | vote | accept | Thomas Benjamin | ||
| Oct 9, 2014 at 4:07 | history | answered | Mohammad Golshani | CC BY-SA 3.0 |