Can I use this for distributed systems?

Yes, it includes specific resources for infinity-topos distributed witnessing using RISC Zero zkVM, enabling higher-categorical reasoning in distributed environments.

How does Topos Unified handle data storage?

The skill utilizes DuckDB for topos artifact storage and Babashka (Clojure) for high-performance scripting and manifest management.

What is the Topos Unified skill for Claude Code?

It is a specialized capability that provides a unified interface for mathematical resources, specifically focusing on category theory, topos theory, and their applications in music, databases, and cognitive science.

What mathematical frameworks does this skill support?

It supports a wide range of frameworks including AlgebraicJulia (acsets), Mazzola's Topos of Music, Infinity Topos reasoning, and Active Inference modeling.

Topos Unified

Name: Topos Unified
Author: plurigrid

byplurigrid

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데이터 과학 및 ML

Unifies mathematical topos-theoretic resources, category theory tools, and cognitive modeling frameworks across the filesystem.

소개

Topos Unified is a specialized skill designed to bridge high-level category theory with practical computational implementation. It provides a centralized interface for navigating and manipulating resources related to music theory, algebraic databases (acsets), infinity topoi, and active inference. By integrating frameworks like AlgebraicJulia and Mazzola’s Topos of Music, it enables developers and researchers to apply rigorous mathematical structures to complex problems in distributed systems, proof verification, and cognitive architecture within the Claude Code environment.

주요 기능

Algebraic database management via acsets and DuckDB integration for structured data
Structured cognitive modeling via Active Inference in string diagrams
Semantic navigation across filesystem world-markers and gayzip manifests
2 GitHub stars
Higher-categorical reasoning through infinity-topos and zkVM distributed witnessing
Unified access to mathematical music theory and Mazzola's MCP saturation workflows

사용 사례

Designing complex database schemas using category theory and attributed C-sets
Modeling multi-agent cognitive systems with active inference and sheaf cohomology
Researching mathematical music theory using Mazzola’s framework and topos-theoretic tools

소개

주요 기능

Algebraic database management via acsets and DuckDB integration for structured data
Structured cognitive modeling via Active Inference in string diagrams
Semantic navigation across filesystem world-markers and gayzip manifests
2 GitHub stars
Higher-categorical reasoning through infinity-topos and zkVM distributed witnessing
Unified access to mathematical music theory and Mazzola's MCP saturation workflows

사용 사례

Designing complex database schemas using category theory and attributed C-sets
Modeling multi-agent cognitive systems with active inference and sheaf cohomology
Researching mathematical music theory using Mazzola’s framework and topos-theoretic tools