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Describe epis in LRS#241

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ScriptRaccoon merged 2 commits into
mainfrom
epimorphisms-LRS
Jun 10, 2026
Merged

Describe epis in LRS#241
ScriptRaccoon merged 2 commits into
mainfrom
epimorphisms-LRS

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@ScriptRaccoon

@ScriptRaccoon ScriptRaccoon commented Jun 10, 2026

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  • describe epis in LRSR
  • add a comment about a theoretical description of monos in LRSR
  • remove incorrect proof that LRSR is well-powered*
  • fix proof that LRSR is well-copowered*
  • minor stuff

The problem with that proof was: that monos are injective (which is correct) is not sufficient since a priori the rings in the structure sheaf could be arbitrary large. One needs to show that this cannot happen, using a more precise description of monomorphisms. I don't know exactly how this works, so for now, I just remove the claim.

Likewise, the proof that LRSR is well-copowered needed to be fixed since surjectivity of epis alone is not sufficient.

@ScriptRaccoon ScriptRaccoon merged commit a79ee62 into main Jun 10, 2026
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@ScriptRaccoon ScriptRaccoon deleted the epimorphisms-LRS branch June 10, 2026 13:45
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