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Solve open-set problems in topology v1.0.0

Use this resource to prove continuity or openness of a set in topology

New

  • 566 downloads
  • 242 likes
  • 202 saves

Free

Install with the CLI

In a terminal, from the folder you want:

npx --yes palatekit@latest install topology-open-sets-proofs

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 follows a decision tree to check a map's continuity, establish that a set is open and check topological properties with Z3. You get a structured proof.

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Updated November 2, 2026

Card for the “Solve open-set problems in topology” 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 (continuity, openness, topological properties)
  • SKILL.md: Z3 commands (open preimage, epsilon-delta, ball containment)

Good fit for

  • You need to show that a map is continuous
  • You are reviewing topology of metric spaces

Not for

    Tags

    • topology
    • open sets
    • continuity
    • proof

    About

    You say

    “Show that the preimage of an open set under this map is open.”

    Card for the “Solve open-set problems in topology” 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 continuity or openness of a set in topology
    3. Review and adjust the result

    Content preview

    Files

    • LICENSE1.1 KB
    • NOTICE-PALATEKIT.md0.5 KB
    • SKILL.md3.2 KB

    Origin and licence

    Listed unmodified

    Author
    parcadei
    Source
    github.com/parcadei/continuous-claude-v3/tree/d07ff4b06b62f43771bc0c927d0211b734d6149e/.claude/skills/math/topology/open-sets
    Licence
    MIT

    Notice

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

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