Timeline for A strictly decreasing function between uncountable subsets of the reals
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 29, 2019 at 19:19 | vote | accept | Taras Banakh | ||
| Jan 29, 2019 at 15:03 | comment | added | Taras Banakh | @WillBrian Thank you for the comment. I will try to check the paper of Abraham-Shelah. | |
| Jan 29, 2019 at 14:10 | comment | added | Will Brian | To complement this answer, I think the answer should be no for $\mathsf{MA}$. Abraham and Shelah proved that $\mathsf{MA}$ doesn't give you Baumgartner's theorem by showing $\mathsf{MA}$ is consistent with the existence of something called an entangled set of reals. I think an entangled set shouldn't admit the sort of map you're describing. (I don't have time to check the details today, which is why I'm just writing a comment -- I hope this helps.) | |
| Jan 22, 2019 at 18:45 | history | edited | Taras Banakh | CC BY-SA 4.0 |
added 4 characters in body
|
| Jan 22, 2019 at 15:44 | history | answered | Taras Banakh | CC BY-SA 4.0 |