👉 In mathematics, a branch of the sciences and engineering, a branched curve (also known as a branched surface) is a geometric object that can be regarded as a union of branches or lateral edges. It is an example of a topological space with boundary, which is a topological manifold without boundaries. A branch cut is a set of points in the plane that are defined by a branch point on the curve. The branch cut determines whether the curve is branched at one point (a
