Timeline for Ordinal vs. cardinal dimension
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Mar 26, 2023 at 23:23 | comment | added | Arvid Samuelsson | @AlecRhea "Length of the largest antichain"? I was under the impression that an antichain generally lacks any kind of order, so that antichains are best measured by cardinals. | |
| May 1, 2018 at 18:25 | comment | added | Alec Rhea | Very cool -- this seems a situation similar to my example above where the dimension set is literally a well-ordered set, so an ordinal dimension makes sense. I wonder if this can be generalized to dimension sets with a partial order on them, perhaps as the largest ordinal that embeds in the partial order or the length of the largest antichain? | |
| Apr 30, 2018 at 23:52 | history | answered | Joel David Hamkins | CC BY-SA 3.0 |