Timeline for MAD family with the choosability property
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jun 7, 2022 at 16:52 | history | edited | bof | CC BY-SA 4.0 |
added 3 characters in body
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| Jun 7, 2022 at 12:56 | comment | added | Ilya Bogdanov | @MartinSleziak As far as I understand, we are not allowed to modify the members of the family, just to add new sets. So I javelin a family some of whose elements contain only $a$ (as I’ve added only $a$ to them), the others contain only $b$. This family is maximal, as you cannot add an infinite set to it, so what is the trouble? | |
| Jun 7, 2022 at 12:51 | comment | added | Martin Sleziak | If we have the family $\mathcal M$ described in your answer, doesn't adding $\{a,b\}$ to each member of the family create a strictly larger almost disjoint family (thus contradicting the maximality)? In the other words, I am not sure that the family you've described is maximal - of course, I might simply have missed something. | |
| Jun 7, 2022 at 12:26 | history | answered | Ilya Bogdanov | CC BY-SA 4.0 |