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While Liverpool's 7,000 travelling fans celebrated, Arsenal's left the Emirates Stadium chuntering about the need for a new striker in the transfer window.
Bukayo Saka's early goal was cancelled out by Raul Jimenez before Bobby De Cordova-Reid's second-half strike ended the hosts' three-match losing streak.
Second-placed Arsenal remain on 40 points, two behind Liverpool who beat Burnley 2-0 on Tuesday.
Arsenal's second league defeat of the season leaves Mikel Arteta's men one point behind Liverpool, who went top with a controversial 2-1 win at Crystal Palace earlier on Saturday.
Arsenal have now taken nine extra points this season courtesy of goals scored in the last five minutes of games.
Anthony Gordon scored the only goal in Newcastle's deserved 1-0 victory over Manchester United that propelled them up to fifth in the table on 26 points.
Trent Alexander-Arnold drilled in an 80th-minute equaliser with his right foot to deny City a 24th successive home win in all competitions.
Newcastle, who are unbeaten in their last seven league outings, climbed to sixth on 20 points after 11 games
Chelsea squandered a two-goal advantage to end up with a point.
Arsenal came into the match having not beaten City in the league since 2015, a run of 15 games -- their longest winless streak against a single opponent in league history.