Mori's Theorem

Mori's Theorem states that if we have two shapes called Jordan curves (closed, non-intersecting loops) that intersect a certain number of times, then when these curves are smoothed or "tamed" via a continuous deformation called a homotopy, the minimal number of their intersections can be achieved without increasing the number of crossings at any stage. In essence, it assures that the minimal crossing points are stable under transformation, allowing mathematicians to understand and compare the complexity of different curve arrangements through deformation without increasing their intersections.