Editing Complex manifold (section)

==Disc vs. space vs. polydisc==
The following spaces are different as complex manifolds, demonstrating the more rigid geometric character of complex manifolds (compared to smooth manifolds):
* complex space <math>\mathbb{C}^n</math>.
* the unit disc or [[open ball]]
::<math>\left \{ z \in \mathbb{C}^n : \|z\| < 1 \right \}.</math>
* the [[polydisc]]
::<math>\left \{z = (z_1, \dots, z_n) \in \mathbb{C}^n : \vert z_j \vert < 1\ \forall j = 1,\dots,n \right \}.</math>