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Add kernel pairs and cokernel pairs - #342

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ScriptRaccoon merged 3 commits into
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kernel-pairs
Aug 20, 2026
Merged

Add kernel pairs and cokernel pairs#342
ScriptRaccoon merged 3 commits into
mainfrom
kernel-pairs

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@ScriptRaccoon ScriptRaccoon commented Aug 20, 2026

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This PR adds two properties of categories to the database:

  • has kernel pairs
  • has cokernel pairs

These are closely related to the existence of pullbacks and pushouts, respectively, but there are notable differences. For example, Metc has cokernel pairs, but not pushouts, and Setnon-empty has kernel pairs, but not pullbacks.

Various results are proven, and the properties have been decided for all categories in the database. Also, some previous assignments of properties have turned out to be redundant.

@ScriptRaccoon
ScriptRaccoon force-pushed the kernel-pairs branch 3 times, most recently from a6c9092 to b8a40bd Compare August 20, 2026 20:40
@ScriptRaccoon
ScriptRaccoon merged commit c770382 into main Aug 20, 2026
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ScriptRaccoon deleted the kernel-pairs branch August 20, 2026 20:53
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