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Semimetrizable spaces are Gδ, add explicit proof to S61|P33 #1220

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Jan 31, 2025
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@yhx-12243 yhx-12243 commented Jan 31, 2025

Since S60|P33 was wrong in the S&S book, I think we should explicitly add the proof of S61|P33 to distinguish them.

Also, semimetrizable spaces ⇒ Gδ is a useful result that can deduce many redundant traits.

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prabau commented Jan 31, 2025

T699: Very nice result.

theorems/T000699.md Outdated Show resolved Hide resolved
Co-authored-by: Patrick Rabau <[email protected]>
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prabau commented Jan 31, 2025

I have approved this, but I will do a separate PR right now to clean some related things. In particular the description of S61 (pointed irrational extension of the reals) is not quite right. And also Ishikawa's result can be added to the README for countably metacompact.

I'll let you review it.

@prabau prabau merged commit e3f2523 into main Jan 31, 2025
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@prabau prabau deleted the semi-gdelta branch January 31, 2025 05:39
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prabau commented Jan 31, 2025

See #1221

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