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Add an example of a cocomplete category without equalizers - #340

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example-cocomplete-no-equalizers
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Add an example of a cocomplete category without equalizers#340
ScriptRaccoon wants to merge 5 commits into
mainfrom
example-cocomplete-no-equalizers

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@ScriptRaccoon

@ScriptRaccoon ScriptRaccoon commented Aug 17, 2026

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This PR adds an example of a cocomplete category without equalizers, namely, the "artificial" example presented in my question MSE/5137415. I have been waiting for answers with other, more natural examples for a while now, but apparently, they just do not exist.

The new category is not just a witness of cocomplete ∧ ¬equalizers, but also of several other property combinations.

TODO. decide as many properties as possible.

@ScriptRaccoon
ScriptRaccoon force-pushed the example-cocomplete-no-equalizers branch from 6d50ee1 to 91f0166 Compare August 18, 2026 11:17
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