A couple things I'm interested in regarding BioShock Infinite (Spoilers!)

A. We see that in Burial At Sea, Elizabeth is able to bring items from Columbia into Rapture. Hypothetically, can the reverse be done, I.E. bringing things from Rapture to Columbia. For example, bringing a Big Daddy into Columbia.

B. Is Columbia basically AU Rapture? Or does it exist as it's own thing? (If the game explicitly tells you I apologize, it's been a while)

C. Why are the Plasmids in Rapture, suddenly named after the Vigors for Columbia? For example, Electro Bolt, is now just called Shock Jockey, which us not what it was called in Bioshock 1.