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Add the category of pseudo-metric spaces#101

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ScriptRaccoon merged 4 commits intoScriptRaccoon:mainfrom
VeryRandomDeveloper:create-category-pseudo-metric-spaces
Apr 18, 2026
Merged

Add the category of pseudo-metric spaces#101
ScriptRaccoon merged 4 commits intoScriptRaccoon:mainfrom
VeryRandomDeveloper:create-category-pseudo-metric-spaces

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@VeryRandomDeveloper VeryRandomDeveloper commented Apr 17, 2026

This PR adds the category of pseudo-metric spaces. It is quite similar to the category of metric spaces, the only recorded difference is that filtered colimits are exact here. Also, the epimorphisms look different.

Maybe later we can also add the category of pseudo-metric spaces where $\infty$ is allowed. This will behave much better.


ℹ️ This PR has been created during recording a video about how to contribute to CatDat. Hence also the unusual account.

@ScriptRaccoon ScriptRaccoon changed the title Create the category pseudo-metric spaces Create the category pseudo-metric spaces (WIP) Apr 17, 2026
@ScriptRaccoon ScriptRaccoon force-pushed the create-category-pseudo-metric-spaces branch 3 times, most recently from 23d155c to 31e341d Compare April 18, 2026 08:28
@ScriptRaccoon ScriptRaccoon force-pushed the create-category-pseudo-metric-spaces branch 2 times, most recently from 532801a to adb7a4f Compare April 18, 2026 09:54
@ScriptRaccoon ScriptRaccoon marked this pull request as ready for review April 18, 2026 09:54
@ScriptRaccoon ScriptRaccoon force-pushed the create-category-pseudo-metric-spaces branch from adb7a4f to c5f1fd2 Compare April 18, 2026 10:04
@ScriptRaccoon ScriptRaccoon changed the title Create the category pseudo-metric spaces (WIP) Add the category pseudo-metric spaces Apr 18, 2026
@ScriptRaccoon ScriptRaccoon changed the title Add the category pseudo-metric spaces Add the category of pseudo-metric spaces Apr 18, 2026
@ScriptRaccoon ScriptRaccoon merged commit e06d3ad into ScriptRaccoon:main Apr 18, 2026
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