FC Copenhagen became the first side this season to prevent 10-man Manchester City from scoring after Sergio Gomez was sent off.
Phil Foden scored in his third away game on the bounce as Manchester City left it late to beat Everton at Goodison Park.
Rodri scored an injury time winner for Man City in a game in which VAR had a say in two penalties and Gabriel was sent off for Arsenal.
Brighton beat Manchester City for the first time in the league since 1989 after Joao Cancelo was sent off in the 10th minute.
Manchester United returned to the Premier League summit after Paul Pogba scored the only goal in a 1-0 win at Burnley.