In reply to anon60521:
> What size / thickness cord is reasonable for transferring the weight of the fallen climber using a Prussik-munter-mule-overhand to the belay whist escaping the system?
Slightly intrigued if that is your default method for escaping the system.
Most climbers I know in the UK tend to carry short prusiks so default to other methods. This is re-enforced by these methods being the ones described in the official MLT Handbook.
> Is 5mm cord (5kN) to thin for this bearing in mind at one point in the escape it is all thats holding the fallen climber?
If it is the only thing holding the climber, then IMO you need to learn a better method of escaping the system. The way most UK climbers tend to escape the system, as jezb1 has already said, the prusik is backed up with the rope.
> What do others use for this?
I don't.
However, I do use 5mm cord for the two or three short prusik loops I carry and I don't have any concern about their strength given how I would use them.