I chose teleporter, silicon, and reincarnation. My view of a "person" is a continuous arc through time: unlikely to be constant, but you can see how f(t) is connected to f(t-1).

The teleporter preserves physicality and behavior. Ship of Theseus via silicon is fine, because replacing bit by bit is close enough to continuity. Reincarnation is a strange twist in the arc, but still continuous; the other option had a chance of termination.