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Add "walking idempotent" and results on Cauchy completeness#33

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ScriptRaccoon merged 3 commits intomainfrom
walking-idempotent
Apr 4, 2026
Merged

Add "walking idempotent" and results on Cauchy completeness#33
ScriptRaccoon merged 3 commits intomainfrom
walking-idempotent

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@ScriptRaccoon ScriptRaccoon commented Apr 3, 2026 •
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  • Add the walking idempotent category
  • Decide all properties of it
  • Add the implication "sequential colimits => Cauchy complete"
  • Add the implication "finite + Cauchy complete => filtered colimits"
  • Remove redundant assignments by using that implication

@ScriptRaccoon ScriptRaccoon merged commit 2d75359 into main Apr 4, 2026
@ScriptRaccoon ScriptRaccoon deleted the walking-idempotent branch April 4, 2026 18:43
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