58Bxx | 58A | 58 | 58C |
| 58B05 | Homotopy and topological questions |
| 58B10 | Differentiability questions |
| 58B12 | Questions of holomorphy [See also 32-XX, 46G20] |
| 58B15 | Fredholm structures [See also 47A53] |
| 58B20 | Riemannian, Finsler and other geometric structures [See also 53C20, 53C60] |
| 58B25 | Group structures and generalizations on infinite-dimensional manifolds [See also 22E65, 58D05] |
| 58B32 | Geometry of quantum groups |
| 58B34 | Noncommutative geometry (à la Connes) |
| 58B99 | None of the above, but in this section |