Table 1 Description of different Betti numbers \(\beta_{n}\) and their associated values for a sphere and torus
From: A new topological descriptor for water network structure
\(\beta_{n}\) | Description | Sphere | Torus |
|---|---|---|---|
0 | Connected components | 1 | 1 |
1 | (Non-contractible) loops | 0 | 2 |
2 | Voids | 1 | 1 |