How does the taxonomy coordinate between different skills?

It uses categorical morphisms to define how data in one domain (like a Google Calendar ACSet) can be mapped or transformed into another domain (like a Task management ACSet) while preserving structural integrity.

What is an ACSet in the context of this skill?

An Algebraic DataSet (ACSet) is a formal structure used in category theory to represent relational data as functors, allowing for mathematically rigorous data manipulation and schema transformation.

Do I need to be an expert in Category Theory to use this skill?

While the underlying logic is based on category theory, the skill provides standardized templates, schema patterns, and Julia-based examples to help developers apply relational thinking without needing a math degree.

What is the benefit of the GF(3) triadic organization?

The GF(3) system balances the workflow by coordinating between historical data (Memory), current schema validation (Ergodic), and future data generation or evolution (Worlding).

ACSet Skill Taxonomy

Name: ACSet Skill Taxonomy
Author: plurigrid

byplurigrid

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Database Management

Maps and coordinates the ecosystem of Algebraic DataSet (ACSet) skills through categorical morphisms and relational schemas.

The acset-taxonomy skill acts as a central navigation and coordination layer for Algebraic DataSet workflows, providing a structured map of algebraic databases, domain-specific schemas, and semantically similar categorical skills. By leveraging category theory concepts like functors and morphisms, it enables users to bridge diverse data domains—from Google Workspace APIs to infrastructure management—while maintaining formal consistency through GF(3) triadic organization and schema validation patterns.

Key Features

01Support for advanced structures like sheaves, cohomology, and Kan extensions

02Formal GF(3) triadic coordination for schema validation and data generation

038 GitHub stars

04Cross-ACSet query templates and schema transformation patterns

05Categorical mapping of ACSet-based skills and their inter-relationships

06Domain-specific schema templates for Workspace, Infrastructure, and Language bridges

Use Cases

01Navigating and organizing specialized Algebraic Julia tools within Claude Code

02Designing interoperable data pipelines across disparate API domains

03Mapping complex relational data models using formal category theory

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi acset-taxonomy

For use in Claude.ai and ChatGPT

Download Skill