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Brians example S171 is not pseudocompact P22#1711

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felixpernegger wants to merge 5 commits into
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s171p22
Open

Brians example S171 is not pseudocompact P22#1711
felixpernegger wants to merge 5 commits into
mainfrom
s171p22

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@felixpernegger
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@felixpernegger felixpernegger commented Mar 26, 2026

redoing #1503 (which was closed due to me missing perms back then)

This PR has low priority!

@Moniker1998
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Moniker1998 commented Mar 28, 2026

I think the definition of this space should point at the answer itself, not the question, also maybe we could make it more self-contained.
I don't think it's a good idea to refer to a definition on mathoverflow or math.SE

@prabau
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prabau commented Mar 28, 2026

I agree totally.

@prabau
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prabau commented Mar 30, 2026

@felixpernegger thanks for updating the README. Since we are touching that file, it would be great if we could find a slightly more descriptive name for the space. The current "Brian's example" is not very enlightening.
(@StevenClontz I think you came up with the previous name?)

"Brian's stack of Bernstein sets" ?

@Moniker1998 and others FYI

@prabau
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prabau commented Mar 30, 2026

In his post Brian talks about $U$ being " a rational open interval in $\mathbb R$" several times. What does he really mean by that?

@felixpernegger
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In his post Brian talks about U being " a rational open interval in R " several times. What does he really mean by that?

Most likely interval with rational endpoints, but that ought to be equivalent to the definition I gave ($U$ being open)

@StevenClontz
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I have no emotional attachment to the name I made up for this space and agree a more semantic name is best.

@felixpernegger
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"Brian's stack of Bernstein sets" ?

Let's just go with this name? I like it.

@felixpernegger felixpernegger added the awaiting-author This PR requires the author to take further action in order to continue. label May 15, 2026
@felixpernegger felixpernegger added awaiting-author This PR requires the author to take further action in order to continue. and removed awaiting-author This PR requires the author to take further action in order to continue. labels May 15, 2026
@prabau
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prabau commented May 15, 2026

I can review this, probably tomorrow.

@prabau prabau self-requested a review May 15, 2026 22:07
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4 participants