# Algebraic Topology

> Algebraic topology, homotopy, homology, and topological invariants

- Skill: `neuralblitz/algebraic-topology` (Agent Skill)
- Install (CLI): `npx skillmds@latest add neuralblitz/algebraic-topology`
- Raw SKILL.md: https://api.skillmd.com/api/skills/neuralblitz/algebraic-topology/raw
- Safety review: pending
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- License: MIT
- Author: NeuralBlitz (https://skillmd.com/u/neuralblitz)
- Updated: 2026-09-17
- Page: https://skillmd.com/skills/neuralblitz/algebraic-topology

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## What I do
- Study topological spaces algebraically
- Work with homotopy groups
- Apply homology and cohomology
- Compute topological invariants

## When to use me
When working on algebraic topology or topology research.

## Key Concepts
- Fundamental group
- Homotopy groups
- Homology
- Cohomology
- Fiber bundles
- Characteristic classes
- Manifolds