Factual error: The fake Rheya tries to kill herself by drinking liquid oxygen. The liquid shown is green, viscous, and foaming and looks a bit like the monster's body fluid in Alien. Liquid oxygen is colorless, non-viscous and doesn't produce sticky bubbles. (01:00:25)
Continuity mistake: When Rheya comes with Kelvin to his apartment her hair is parted on the side when they go up the elevator. When they enter the apartment her hair is parted in the middle. (00:25:35)
Continuity mistake: After remembering the details of her suicide, Rheya is viewed from behind looking out the window and is sitting slightly to the right of the center of the window. In the next shot, when viewed from outside the window looking in, she is sitting to the far left of the (original) center. Even accounting for the change in camera angles it isn't even close. (00:53:00)
Other mistake: When Kelvin slices a cucumber he cuts his finger. The way he was attacking the cucumber he would have cut a piece of his finger off but not cut into it. The same happens again at the end of the movie. (00:03:30)
Continuity mistake: In Snow's first appearance the way his hair is stuck to his forehead changes from shot to shot. (00:12:05)