Timeline for (Maximal) almost disjoint families of true cardinality ${\frak c}$
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 26, 2022 at 7:17 | vote | accept | Dominic van der Zypen | ||
| May 25, 2022 at 22:14 | comment | added | Asaf Karagila♦ | Thanks @Will, that makes sense! | |
| May 25, 2022 at 22:08 | comment | added | Will Brian | Nice! Regarding your last sentence, the answer to Dominic's question is yes if $\mathfrak{a} = \mathfrak{c}$. This is because if $\mathcal M$ is a MAD family on $\mathbb N$ and $A \subseteq \mathbb N$, then either $A$ only meets finitely many members of $\mathcal M$ in an infinite set, or else the restriction of $\mathcal M$ to $A$ is a MAD family on $A$, hence of cardinality $\mathfrak{c}$. So it seems the answer to Dominic's question is yes if and only if $\mathfrak{a} = \mathfrak{c}$. | |
| May 25, 2022 at 21:08 | history | answered | Asaf Karagila♦ | CC BY-SA 4.0 |