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Solve limit problems in category theory v1.0.0

Use this resource to construct a limit or colimit and check its universal property

New

  • 461 downloads
  • 230 likes
  • 230 saves

Free

Install with the CLI

In a terminal, from the folder you want:

npx --yes palatekit@latest install category-limits-and-colimits

With no option, the skill goes to ~/.agents/skills/; add --agent claude-code (or codex, cursor…) to target an agent.

First time: connect the CLI with

npx --yes palatekit@latest login

The agent identifies the limit or colimit type, checks the universal property and uses Lean 4 to obtain the unique morphism. You get a justified limit.

Mostly picked by

Updated November 2, 2026

Card for the “Solve limit problems in category theory” skill

Details

Works in
Install guides
Generates with
Your agent's model
Licence
MIT

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What you get

  • SKILL.md: decision tree (product, equalizer, pullback, terminal object, colimit)
  • SKILL.md: Lean 4 commands (IsLimit.lift, CategoryTheory.Limits) and SymPy

Good fit for

  • You need to prove a universal property
  • You study fibre products

Not for

    Tags

    • categories
    • limits
    • lean 4
    • universal property

    About

    You say

    “Construct the pullback of two morphisms into the same object.”

    Card for the “Solve limit problems in category theory” skill

    Skill published by parcadei under the MIT license, delivered in its original version.

    Show more

    How to use it

    1. Install the skill in your agent's skills folder
    2. Ask your agent to construct a limit or colimit and check its universal property
    3. Review and adjust the result

    Content preview

    Files

    • LICENSE1.1 KB
    • NOTICE-PALATEKIT.md0.5 KB
    • SKILL.md1.9 KB

    Origin and licence

    Listed unmodified

    Author
    parcadei
    Source
    github.com/parcadei/continuous-claude-v3/tree/d07ff4b06b62f43771bc0c927d0211b734d6149e/.claude/skills/math/category-theory/limits-colimits
    Licence
    MIT

    Notice

    « limits-colimits » (parcadei, MIT) livré dans sa version d'origine : fiche en français et en anglais par PalateKit.

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