Sorry about the length.
I guess this is the appropriate forum to post this in.
I've never even seen this happen before.
I got my new Warwick RockBass not too long ago.
I hated the strings it came with (steel). So... I replaced them with an extra Carvin set. I've liked the Carvins because they're taper wound and I think they have a good tone.
As I'm finishing up and stringing up the B string, I hear a pop. Damnit, the core broke as it I was winding it up on the post.
See pic...The yellow arrow indicates where the core broke the thick part of the string (these are not the Carvin strings BTW)

As the really thick part of the string started wrapping around, I don't know, it just broke the core.
I thought it might be a defective string. So I took a B string out of another set I had. Same thing happened! The core broke as the thick part wrapped around the post.
I guess the peg is too close to the nut causing some weird stress and tension.
I go to Guitar Center the next day and look at some strings that have exposed cores at the tuning peg.
I settled on the GHS Bass Boomers. I've always liked them.
I go home to string it up and encountered another stupid problem.
All was going well until I got to the B string.
I put it through the bridge and try to pull it taught.
The damned thing wouldn't go through.

It seems the extra winding right before the ball end are too big to fit through the hole in the bridge. So it's just hanging out there like an idiot. I've tuned it up and the tension is there, it just won't go through. Also, it sounds really dead. really muffled. Just a lame little thump when I slap or finger it.
At the tuning peg all was well as you can see in the first picture.
The exposed core wrapped around nicely.
Anyone ever seen this? I know I haven't.
This is ridiculous. Are the real Warwick Corvettes like this? Not so much at the bridge(the real Warwicks have the 2 piece), but at the tuning pegs?
AND FINALLY.... The major reason for my post...
Can anyone recommend a set of strings that are taperwound at the bridge and tuners. NICKEL please. I'm not a steel fan.