Dahar masters Kang and Koloth both received statues in the Hall of Heroes after their deaths in 2370. Kor believed that he too rightfully should have a statue in the Hall of Heroes alongside Kang and Koloth.
In 2372, Kor attempted to make this dream come true when he, Jadzia Dax and Worf went on a quest to search for the Sword of Kahless. He believed that if they were to return the Sword to the Klingon people, "children will sing our names for a thousand years" and that "they will erect statues of us in the Hall of Heroes."
During a nap, following the departure on their quest for the Sword, Kor claimed to have had a magnificent dream, where he "dreamt [he, Dax and Worf] were in the Hall of Heroes presenting the Bat'leth to the Emperor near the statues of Kang and Koloth, and as the crowd sang their names, [Kang and Koloth came to life]." (DS9: "The Sword of Kahless")