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Cleanup for S22 Fortissimo space on the reals #1207

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merged 2 commits into from
Jan 26, 2025
Merged

Cleanup for S22 Fortissimo space on the reals #1207

merged 2 commits into from
Jan 26, 2025

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prabau
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@prabau prabau commented Jan 24, 2025

Cleanup for S22 (Fortissimo space on the real numbers).
Removed redundant traits, and updated the README to something that seemed easier to grasp for me (and also more closely matches S154 (Fort space on the real numbers)).

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prabau commented Jan 24, 2025

The build is failing, seemingly due to AWS problems.

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prabau commented Jan 26, 2025

@yhx-12243 would you be able to review this?

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No problems for now, if we don't care the unknown traits.

Among those unknown traits, P172 (Radial) is resolved in mathse:4833761, and all the others seems undecidable in ZFC.

Anyway, these can be postponed, depend on your intention.

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prabau commented Jan 26, 2025

Thanks for reviewing. My intention was to get this cleanup out of the way first. And then add more.

Actually, like you said, many of the remaining traits are undecidable. I was thinking it would be useful to introduce two new spaces where these traits can be decided:

  • Fortissimo space on $\aleph_1$
  • Fortissimo space on $\aleph_2$

which are of course the same as S22 depending on some set-theoretic assumptions. That would provide a good way to illustrate why some of the traits are undecidable for S22. By I should probably open an issue first to see if this would be acceptable to add.

Opinion?

@prabau prabau merged commit bf0767e into main Jan 26, 2025
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@prabau prabau deleted the S22-cleanup branch January 26, 2025 07:07
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prabau commented Jan 26, 2025

@yhx-12243 See #1213.

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4 participants