Wristwatch Part Names

What is the name of this type of bracelet?

I have a link here to a watch on eBay …. I'm wanting to know is … you see the part where it connects the watch to the head band …. instead of the traditional (modern?) two connecting arms … It has a thin connection common branching two thin arm ….. I am eager to know what name is given to this kind of watches …. confusion … but thanks! hmmmm …. another name for it??

a ropewatch! I used to have one!

Vostok-Europe Gaz Limo Plum Wrist Watch Segment – Longer Version