Copenhagen on the rise
The win takes Copenhagen to 18 points, level with AaB, with the pair both three points behind leaders Odense.
Brondby slipped off the pace with a 4-1 loss at the hands of Silkeborg.
Sonderjyske were 2-0 winners at Midtjylland thanks to strikes from Anders Egholm and Kenneth Fabricius.
Winless Randers picked up only their second point of the season in a 1-1 draw with Koge.