# geometry-topology

- Author: Develata
- Repository: Develata/Deve-Skills
- Version: 20260129203735
- Stars: 0
- Forks: 0
- Last Updated: 2026-02-06
- Source: https://github.com/Develata/Deve-Skills
- Web: https://mule.run/skillshub/@@Develata/Deve-Skills~geometry-topology:20260129203735

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# Geometry & Topology

**Path**: `math-researcher-teacher/domains/algebra-geometry/geometry-topology/`

## 🔬 Core Capabilities

### 1. Differential Geometry
*   Curves and surfaces in 3D.
*   Manifolds, curvature, tensors, differential forms.

### 2. Algebraic Topology
*   Fundamental groups, covering spaces.
*   Homology and Cohomology groups.
*   Euler characteristic, Betti numbers.

## 💻 Tools
*   **SymPy DiffGeom**: Differential geometry module.
*   **NetworkX**: Can be used for calculating Euler characteristic of simplicial complexes (represented as graphs).