The Albayzin quarter is located north of the Darro river on the hill opposite the Alhambra.  Its name may be derived from the Arabic Rabad el-Bayyazin "quarter of the falconers,"  the Bab al-Bayyazin "gate of the falconers," or it may refer to Muslims from the city of Baeza who settled in the quarter in the thirteenth-century.  
Steep and narrow winding streets characterise the Albayzin, which is famous for its remains of medieval houses, mosques and baths.  
Sources:
Robertson, Ian. 1980. Spain, the mainland. In Blue guide. Chicago : Rand McNally, p. 494-495.
Roca Roumens, M., Moreno Onorato, M. A. & Lizcano Prestel, R. 1988. El Albaicín y los orígenes de la ciudad de Granada.  Granada.
Spain 5th ed. 1976. Nagel's encyclopedia-guide. Geneva: Nagel Publishers, p. 819.