Even though City didn't pose any threat in attack, their defence was brilliant, and they held United's threatening attempts off again and again.
Meanwhile, a late goal from George Boateng earned Middlesbrough a welcome 1-1 draw against Bolton.
Great goalkeeping by Mark Crossley got Fulham their first away win of the season with a 1-4 win over Newcastle.
Craig Bellamy scored for Newcastle, but in the face of two goals by Steed Malbranque, and one each for Collins John and Luis Boa Morte, it wasn't nearly enough.
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