headband

Short definition from Wiktionary

Noun

1. 1
   A strip of fabric worn around the head.
2. 2
   A hair accessory, made of a flexible material and curved like a horseshoe, for holding one's hair back.
3. 3
   A strip of fabric attached to the top of the spine of a book; used as decoration and reinforcement.
4. 4
   A thin slip of iron on the tympan of a printing press.