Can I get my cat to stop sneaking out the door?

This is a place to gain some understanding of cat behavior and to assist people in training their cats and dealing with common behavior problems, regardless of the method(s) used. Keep in mind that you may be receiving advice from other cat owners and lovers...not professionals. If you have a major problem, always seek the advice of a trainer or behaviorist!

Colonel- Mustard

Purred: Wed Jul 3, '13 9:00am PST 
My kitty constantly tries to sneak out the door everytime we open it. The thing is, I live in a block, on the third floor, so the door leads to 3 flights of stairs. While it bugs me, I don't mind running for the kitty, but I'm guessing the neighboors won't find it so fun and, especially, my new roommates.
I used to live with my boyfriend on the first floor, so this wasn't such a huge issue. But since I'm already bringing 2 cats with the new roommates, I don't want them to start running for the youngest one across the stairs. Is there anyway to teach my kitty NOT to sneak out the door?