This one shot is composed of four separate side stories for Battle Angel Alita, known in Japan as Gunnm.
Before being compiled as one single volume in 2007, the short stories were first published in Ultra Jump in 1997 and 2006. Three of them ("Furusato", "Seiyakyoku" and "Sonic Finger") had also been included in the Japanese Gunnm: Complete Edition. In 2018, all four stories were published in English in the Battle Angel Alita Deluxe Edition box set.
Several characters who appear in the side stories do not appear in the regular manga. The side stories also provide more background on the Factory and motorball.
(Source: Wikipedia)