Falling down with the ball

[gostars]

I have been told that if you aren't dribbling and you fall down with the ball it is a travel. I assume this is because when you fall down you pick up your pivot foot and put it back down. What if you fall and don't put you pivot foot back down on the floor? Still a travel? I know that if you get up or roll it is a travel. I also believe that you can't sit up without starting a dribble.