limits-colimits

Community

Solve category theory limits & colimits

Authorscooter-lacroix
Version1.0.0
Installs0

System Documentation

What problem does it solve?

This skill provides strategies and tools for solving problems related to limits and colimits in category theory, particularly useful for formal verification and mathematical reasoning.

Core Features & Use Cases

  • Problem Identification: Guides users to identify the type of limit or colimit (e.g., product, equalizer, pullback, terminal object).
  • Universal Property Verification: Assists in verifying the universal property of limits.
  • Concrete Computation: Offers methods for computing limits concretely in specific categories like 'Set'.
  • Preservation Rules: Details how adjoint functors preserve limits and colimits.
  • Use Case: When faced with a complex category theory problem involving products or pullbacks, this skill helps break it down, verify its properties, and compute concrete solutions using tools like Lean 4 or SymPy.

Quick Start

Use the limits-colimits skill to identify the type of limit for a given diagram in category theory.

Dependency Matrix

Required Modules

None required

Components

scriptsreferences

💻 Claude Code Installation

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Please help me install this Skill:
Name: limits-colimits
Download link: https://github.com/scooter-lacroix/Maestro/archive/main.zip#limits-colimits

Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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