Morse theory for manifolds with boundary (Q276589)

This is a systematic presentation of Morse theory for manifolds with boundary containing also new results. The study starts by pointing out the changes in the topology of the level sets when crossing a boundary critical point. Then the main result is given describing a procedure of moving interior critical points to the boundary. Another topic refered to is rearrangements of critical points. An application deals with the splitting of cobordisms into left product cobordisms and right product cobordisms.