Tangles and Ribbon Knots
September 15, 2019
2:09 AM
Step I: In-situ cosmetics.
At end: D is a tree of chord-and-arc polygons.
Step 2: Near-situ cosmetics.
At end: D is tree-band-sum of n unknotted disks.
Step 3: Slides.
At end: D is a linear-band-sum of n unknotted disks.
Step 4: Exposing the necks.
At end: D has (n-1) exposed bridges which when turned, make D a union of n unknotted disks.
Step 5: Pulling bottom handles avoiding the obstacles.
At end: Theorem is proven.