Let α be a rectifiable, Jordan curve in 2 and z0 be a point in 2-Im(α) and let α have a winding number W[α:z0]. Then W[α:z0]=±1; all points inside α will have the same index and we define the orientation of a Jordan curve α by saying that α is positively oriented if the index of every point in α is +1 and negatively oriented if it is -1.

Title orientation
Canonical name Orientation
Date of creation 2013-03-22 12:56:09
Last modified on 2013-03-22 12:56:09
Owner CWoo (3771)
Last modified by CWoo (3771)
Numerical id 6
Author CWoo (3771)
Entry type Definition
Classification msc 30A99
Related topic SensePreservingMapping