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An incredibly tight match at the Emirates saw the teams play out a dull stalemate.
Both sides came into the match on the back of painful results at the weekend - Arsenal losing 5-1 at Liverpool and Manchester United drawing 2-2 with Fulham.
The draw means that the Gunners remain in second place in the Premier League, one point behind Chelsea. Manchester City could have gone top with a victory, but their game with Sunderland at the Etihad Stadium was called off because of the extreme weather conditions.
Robin van Persie had two great chances to score against his former team, an early shot that was saved by Wojciech Szczesny, and also a late header that was superbly stopped by the Polish goalkeeper.
Arsenal's best chance came from defender Laurent Koscielny, whose header from a corner was cleared off the line by Antonio Valencia.
So who were the best (and worst) performers? Check out our ratings below...
Arsenal 0 Manchester United 0 player ratingsShow all 22 1 /22Arsenal 0 Manchester United 0 player ratings Arsenal 0 Manchester United 0 player ratings Wojciech Szczesny 7/10 Spectacular save from Van Persie's later header to keep his team in the match
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Arsenal 0 Manchester United 0 player ratings Bacary Sagna 5/10 Just like when the teams met at Old Trafford, right-back put in inviting crosses, but a team-mate could not capitalise
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Arsenal 0 Manchester United 0 player ratings Laurent Koscielny 6/10 Came so close to opening the scoring but header was saved off the line. Solid performance otherwise
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Arsenal 0 Manchester United 0 player ratings Per Mertesacker 5/10 Made some crucial interceptions in the first half, but lost Van Persie at times
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Arsenal 0 Manchester United 0 player ratings Kieran Gibbs 6/10 Charged forward in the first half but header went straight at De Gea. Quiet as the game wore on
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Arsenal 0 Manchester United 0 player ratings Santi Cazorla 7/10 Always looked to get his team on the move and late efforts well saved by De Gea
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Arsenal 0 Manchester United 0 player ratings Mesut Ozil 7/10 Neat and tidy in possession and became more incisive and influential as the game became stretched in the final stages
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Arsenal 0 Manchester United 0 player ratings Jack Wilshere 6/10 Caught in possession at times. Tried to drive his team on but Arsenal lacked runners
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Arsenal 0 Manchester United 0 player ratings Tomas Rosicky 6/10 Sloppy passes and found it hard to get into a rhythm with match so tight in the middle
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Arsenal 0 Manchester United 0 player ratings Mikel Arteta 5/10 Awful pass with the game in its infancy to put Van Persie straight through on goal. Struggled against Carrick and Cleverley
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Arsenal 0 Manchester United 0 player ratings Olivier Giroud 6/10 Could not punish United with a couple of free headers and slightly off the pace. Tired
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Arsenal 0 Manchester United 0 player ratings David De Gea 7/10 Brilliant save from Cazorla's snap shot late on. Hardly troubled
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Arsenal 0 Manchester United 0 player ratings Rafael 5/10 A threat down the right in the first half. But went off at the break after colliding with Giroud
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Arsenal 0 Manchester United 0 player ratings Nemanja Vidic 6/10 Lost Giroud on more than one occasion from a corner. But redeemed himself with important blocks
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Arsenal 0 Manchester United 0 player ratings Chris Smalling 6/10 Comfortable along the back four. Performed well when moved to right back for the second half after Rafael went off
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Arsenal 0 Manchester United 0 player ratings Patrice Evra 5/10 Attempted to get forward on the overlap but a quiet night for the Frenchman
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Arsenal 0 Manchester United 0 player ratings Tom Cleverley 6/10 Comfortable in possession. Linked up well with Carrick and Mata
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Arsenal 0 Manchester United 0 player ratings Michael Carrick 6/10 Broke up play constantly and did his job with diligence in the middle
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Arsenal 0 Manchester United 0 player ratings Antonio Valencia 6/10 Fine header off the line to clear Koscielny's header from Arsenal's corner
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Arsenal 0 Manchester United 0 player ratings Juan Mata 7/10 Beginning to fit right in at United with his quick passing to get the team on the attack. How Van Persie must enjoy playing with the Spaniard
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Arsenal 0 Manchester United 0 player ratings Wayne Rooney 7/10 Delighful, lofted ball to Van Persie nearly won the game for United. Dangerous, but was he involved enough?
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Arsenal 0 Manchester United 0 player ratings Robin van Persie 7/10 A shocking miss at the start of the game, hitting the ball straight at Szczesny, but was a constant threat, and powerful header was superbly saved by the goalkeeper late on
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