morphism-mapper

Map problem structures across domains using category-theoretic morphisms.

33|2|Updated Feb 2, 2026
One-click install
npx skills add https://github.com/pinren/morphism-mapper --skill morphism-mapper
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: morphism-mapper
Source: https://github.com/pinren/morphism-mapper/tree/main
Command: npx skills add https://github.com/pinren/morphism-mapper --skill morphism-mapper

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) and references (resource) and assets (resource) components.

What problem does it solve?

Morphism Mapper maps a problem's structure (Domain A) to distant Domains B using category-theoretic morphisms to generate cross-domain innovations.

It enables AI agents to reason across disciplines by structuring problems as Objects and Morphisms and pulling back practical proposals.

Core Features & Use Cases

  • Cross-domain mapping via Objects and Morphisms to unlock insights in unfamiliar domains.
  • Four-stage workflow: extract skeleton, select target domain, perform the functorial mapping, pull-back & synthesis.
  • Advanced modules: Yoneda Probe, Natural Transformation, Adjoint Balancer, Limits/Colimits; knowledge-base management with custom domains.

Quick Start

Example: Use morphism-extract "如何扩展到新市场" to extract a category skeleton, then morphism-map <domain> to begin mapping, and morphism-synthesize to generate proposals.

Frequently Asked Questions about morphism-mapper

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
What is category-theoretic cross-domain mapping and when do I need it?

Cross-domain mapping structures a problem as objects and morphisms, then translates that skeleton to a distant domain to generate innovative proposals. You need it when seeking breakthrough insights by applying patterns from unfamiliar disciplines to your current challenge.

How do I generate cross-domain innovations using morphism mapping?

Morphism mapping works through a four-stage workflow: extract your problem's category skeleton, select a target domain, perform the functorial mapping, and pull back to synthesize practical proposals. You can also apply advanced modules like Yoneda Probe or Adjoint Balancer for deeper analysis.

Can I use custom domains for cross-domain knowledge mapping or am I limited to built-in ones?

Cross-domain mapping supports 31 built-in domains and fully custom domains. You can define your own target domain through the knowledge-base management system, allowing flexible mapping to any discipline relevant to your specific innovation context.

Does cross-domain mapping include safety checks for ethics and compliance?

Cross-domain mapping includes built-in safety checks for ethics and compliance during the synthesis phase. These checks evaluate generated proposals against ethical constraints and compliance requirements before returning the final cross-domain innovation outputs.

What is the Yoneda Probe and how does it enhance category-theoretic domain mapping?

The Yoneda Probe is an advanced module that examines a domain's structure from external perspectives to reveal hidden properties. It enhances domain mapping by exposing implicit relational structures within the target domain before the functorial mapping occurs.

What are the limitations of using category theory for cross-domain problem solving?

Cross-domain mapping via category theory requires extracting a valid problem skeleton, meaning poorly structured or highly ambiguous problems may resist functorial translation. Additionally, synthesized proposals require domain expertise to validate practical feasibility before implementation.