Timeline for $\kappa$-scales and the continuum
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 4, 2016 at 23:57 | comment | added | Boaz Tsaban | As answered, scales are not ZFC objects. But for many applications, weaker forms of Scale can be used, the most fruitful one being that of $\mathfrak{b}$-scale, which always exists in ZFC. I surveyed some central uses in Menger's and Hurewicz's Problems: Solutions from ``The Book'' and refinements, Contemporary Mathematics 533 (2011), 211-226 | |
| Oct 3, 2010 at 6:51 | vote | accept | Asaf Karagila♦ | ||
| Oct 2, 2010 at 17:25 | comment | added | Haim | As Francois mentioned, b=d implies the existence of a scale. Now, it's worth noting that Martin's axiom implies the above equality (hence the existence of a scale). | |
| Oct 2, 2010 at 15:00 | answer | added | François G. Dorais | timeline score: 5 | |
| Oct 2, 2010 at 14:13 | history | asked | Asaf Karagila♦ | CC BY-SA 2.5 |