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Decide all properties for the category of Hausdorff spaces#202

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ScriptRaccoon merged 4 commits into
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hausdorff-spaces-proofs
May 23, 2026
Merged

Decide all properties for the category of Hausdorff spaces#202
ScriptRaccoon merged 4 commits into
mainfrom
hausdorff-spaces-proofs

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@ScriptRaccoon ScriptRaccoon commented May 23, 2026

This PR decides the remaining properties Haus, the category of Hausdorff spaces. No unknown properties are left. 🎉

In particular, it is shown that

  • Haus is not regular
  • Haus is not coregular
  • Haus does not have a cogenerating set

Also, the regular epimorphisms are classified. (In the previous PR #201 it was already added that Haus does not have small dense subcategory, so that Haus is not accessible. That piece of information would have better fitted here.)

  • unknown (category, property)-pairs before this PR: 125
  • unknown (category, property)-pairs before this PR: 118

@ScriptRaccoon ScriptRaccoon force-pushed the hausdorff-spaces-proofs branch from b632f54 to 4c88f66 Compare May 23, 2026 02:23
@ScriptRaccoon ScriptRaccoon merged commit b00a936 into main May 23, 2026
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@ScriptRaccoon ScriptRaccoon deleted the hausdorff-spaces-proofs branch May 23, 2026 02:27
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