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Add property: ℵ₁-cofiltered limits#200

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ScriptRaccoon merged 7 commits into
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aleph1-cofiltered
May 27, 2026
Merged

Add property: ℵ₁-cofiltered limits#200
ScriptRaccoon merged 7 commits into
mainfrom
aleph1-cofiltered

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@ScriptRaccoon ScriptRaccoon commented May 21, 2026

This PR adds two properties (whose duals are already in the database):

  • being $\aleph_1$-cofiltered
  • having $\aleph_1$-cofiltered limits

This has been motivated by deciding some existing properties in the database (such as being coaccessible). For the deduction system to properly work, properties should also always be dualized.

Surprisingly, $\aleph_1$-cofiltered limit exist in many cases, even when cofiltered limits do not exist. The situation is similar to the $\aleph_1$-filtered colimits (#179).

For the following two categories, having $\aleph_1$-cofiltered limits could not be decided:

  • FreeAb
  • Sch

Next step: add the property $\aleph_1$-coaccessible (we already have $\aleph_1$-accessible in the database).


  • unknown (category, property)-pairs before this PR: 115
  • unknown (category, property)-pairs before this PR: 117 😕

@ScriptRaccoon ScriptRaccoon force-pushed the aleph1-cofiltered branch 3 times, most recently from f1b89d5 to 8708b87 Compare May 26, 2026 21:55
@ScriptRaccoon ScriptRaccoon marked this pull request as ready for review May 26, 2026 21:55
@ScriptRaccoon ScriptRaccoon changed the title ℵ₁-cofiltered limits Add property: ℵ₁-cofiltered limits May 27, 2026
@ScriptRaccoon ScriptRaccoon merged commit b511088 into main May 27, 2026
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@ScriptRaccoon ScriptRaccoon deleted the aleph1-cofiltered branch May 27, 2026 07:44
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