The Gedana post was a station where Arjin's father was a pilot instructor for forty years in the 24th century. (DS9: "Playing God")

This outpost was only mentioned in dialogue.
It is unclear whether this post was operated by the Trill, the Federation, or someone else. According to the Star Trek Encyclopedia (4th ed., vol. 1, p. 300), Gedana Post was a Trill base.