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Cotoposes - #440

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ScriptRaccoon merged 5 commits into
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cotoposes
Oct 27, 2026
Merged

ScriptRaccoon merged 5 commits into
mainfrom
cotoposes

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@ScriptRaccoon ScriptRaccoon commented Oct 27, 2026 •

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This is a very quick PR that dualizes various topos-like properties (cf. #364 which aims to dualize all recorded properties). It adds four properties:

  • elementary cotopos
  • Grothendieck cotopos
  • precotopos
  • quasicotopos

They are automatically decided for all categories in the database. The only elementary cotoposes in the database are the three trivial categories (1, Isom, Setindisc) and Setop. Maybe we find more interesting examples at some point. The same holds for Grothendieck cotoposes and precotoposes. There are a few more quasicotoposes, though.

@ScriptRaccoon ScriptRaccoon added the data additions and updates to the database label Oct 27, 2026
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ScriptRaccoon merged commit 66f936f into main Oct 27, 2026
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ScriptRaccoon deleted the cotoposes branch October 27, 2026 16:17
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