The point about layers is for each vertical cm around the earth you need to have that point with zero air speed. Same deal for any width you feel like talking about. You also need to have a line that connects all those points from earth to space. However, that line's path need not be strictly vertical it could wrap around the earth 3 times before reaching space.

However, "In meteorology, a cyclone refers to an area of closed, circular fluid motion rotating in the same direction as the Earth[1][2]." which is not nessisarily true.