I know that removing an old unused chimney from a house is done from the top down.
I'm just wondering if it's even thinkable to remove a mid-section from the chimney, while reinforcing under the first removed layer of bricks taken out (would be at the ceiling of the "top floor" on the diagram) (as it's being taken down) to support the top part of the chimney, around 10 feet of it.
The chimney is not structurally tied to the house.
Is this something that's ever done or am I crazy?