Box topology on R^omega is strongly Choquet, not countably tight#1730
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GeoffreySangston merged 2 commits intomainfrom Apr 10, 2026
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Box topology on R^omega is strongly Choquet, not countably tight#1730GeoffreySangston merged 2 commits intomainfrom
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I'm going to remove the Cech complete property actually, because it's not clear if the proof on mathoverflow is correct |
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Dan's tool shows ~countably tight is optimal. Probably Strongly Choquet = true is optimal, but we don't know if the ~Cech complete proof will be fixed. If somehow this space is actually cech complete then we'll just remove the strongly choquet trait (which easily follows from the meta-properties). Looks good to me.
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This PR adds those three properties.
Most of those are accurate, but if we were to show that it's not a$k$ -space, then we would replace Cech-complete with that property. However I don't know if it is or not.