I was running an errand earlier today and I came up on an intersection (with a street light) that had right turn "by-pass the light" lane. The lane gradually curves to face the cross street with a concrete island seperating the turn lane from the corner. It was dry today and cross traffic was stopped at the light so I took it a little fast (25-30 mph?). Just as I'm entering the turn, I notice there are little pieces of glass (from a previous accident?) spread across the turn lane that I'm about to enter. "Uh-oh".... a half a second later my back end slides out from under me (50+ degrees). I stay off the brakes and counter streer for a second then straighten the wheel. The slide stops, then I starts rolling towards the inside curb that the car is now facing. I again steer the car left, away from the inside curb towards the direction I wanted to go. My inside front tire (maybe the rear too) hit the inside curb pointing the car the other direction, diagonally across the cross street I was trying to turn on to. I steer right, towards the direction of the street I'm now on, back end kicks out again (but not as much), steer left, then the car settles back in line with the street. Luckily, there was no on-coming traffic and my car was undamaged with exception of a scuffed sidewall. Scared the bejezus out of me!
Needless to say, I think I'm going to drive a little slower from now on.
My question is, could I have done something different to correct the oversteer?

My question is, could I have done something different to correct the oversteer?