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Nov 23, 2020 at 22:51 history bounty ended Tim Campion
Nov 22, 2020 at 10:37 history edited Harry West CC BY-SA 4.0
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Nov 22, 2020 at 10:36 comment added Harry West @TimCampion: I think it's not completely straightforward to adapt my original argument to allow other choices of λ to deal with the issue Asaf mentions, but it can be handled by your answer
Nov 22, 2020 at 10:19 comment added Harry West @AsafKaragila: thanks for pointing this out.
Nov 22, 2020 at 10:13 history edited Harry West CC BY-SA 4.0
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Nov 21, 2020 at 20:56 comment added Asaf Karagila $\frak c$ is not a good choice in ZFC, but $\beth_{\omega_1}$ is.
Nov 18, 2020 at 18:04 vote accept Tim Campion
Nov 18, 2020 at 16:34 comment added Tim Campion Thanks, this is great! Unfortunately, I failed to mention that I'm most interested in the case where the ground field is finite, and I don't see how to adapt your construction to this case. I will edit to reflect this, but if I get no answer, I'll probably just accept yours.
Nov 18, 2020 at 14:27 history answered Harry West CC BY-SA 4.0