Burnley were sharper and more committed but mid-table Wolves contributed to their downfall with some sloppy defensive work at an empty Molineux.
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Captain Pierre-Emerick Aubameyang inadvertently headed into his own net from a corner at Emirates Stadium after Granit Xhaka had been shown a straight red card for violent conduct.
Liverpool survived scares at either end of the game to beat Burnley 4-2 at Anfield this afternoon and maintain pace with Manchester City at the top of the Premier League.
Adnan Januzaj, recalled by Louis van Gaal after struggling to secure first-team action last term, scored the only goal for the Red Devils, who move to the top of the table for the time being at least