Cobb: We need the heir of a major corporation to dissolve his father's empire.
Eames: Well, you see, right there you have various political motivations and anti-monopolistic sentiment and so forth, but all that stuff is at the mercy of your subjects own prejudice. What you have to do is start at the absolute basic.
Cobb: Which is what?
Eames: The relationship with the father.
When Ariadne wakes in the Snow Fortress and the floor goes from under her, we can see her gloves fall in to the crack but in a different camera shot of her we can see the gloves are now back near her head again.
The name of the "architect" Ariadne: The mythical character that gives the thread (way) to Theseus is able to get out of the Minotaur labyrinth.