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Solve problems on Lebesgue measure v1.0.0

Use this resource to prove measurability or compute the measure of a set

New

  • 371 downloads
  • 107 likes
  • 100 saves

Free

Install with the CLI

In a terminal, from the folder you want:

npx --yes palatekit@latest install lebesgue-measure-proof-strategies

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 builds the outer measure, checks the Carathéodory criterion, applies the regularity theorems and Borel set properties, with SymPy and Z3. You get a verifiable proof.

Mostly picked by

Updated November 2, 2026

Card for the “Solve problems on Lebesgue measure” 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 (outer measure, Carathéodory, regularity)
  • SKILL.md: SymPy commands (sums, Borel sets) and Z3 (Carathéodory criterion)

Good fit for

  • You need to show that a set is measurable
  • You compute the measure of an interval or a simple set

Not for

    Tags

    • lebesgue measure
    • carathéodory
    • measurability
    • regularity

    About

    You say

    “Show that the rationals in [0,1] have measure zero.”

    Card for the “Solve problems on Lebesgue measure” 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 prove measurability or compute the measure of a set
    3. Review and adjust the result

    Content preview

    Files

    • LICENSE1.1 KB
    • NOTICE-PALATEKIT.md0.5 KB
    • SKILL.md3.3 KB

    Origin and licence

    Listed unmodified

    Author
    parcadei
    Source
    github.com/parcadei/continuous-claude-v3/tree/d07ff4b06b62f43771bc0c927d0211b734d6149e/.claude/skills/math/measure-theory/lebesgue-measure
    Licence
    MIT

    Notice

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

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