I have a vintage road bike with Sun Tour Cyclone single-pivot calipers, with Cyclone levers. I recently had the front brake cable housing "detach" from the brake lever. It appears to have a large 'ferrule'-type piece on the end of the housing. (what's the name of this part?)
The right lever appears to have the housing head straight into the lever, and appears crimped in. It's not visible in the photo either way but I don't believe there is a similar cable housing ferrule.
What is the correct method for me to get the rear-brake cable housing back into the brake lever, and secure it in place?