Chelsea lost their perfect record in this season's Premier League after an entertaining 2-2 draw at Swansea on Sunday.
Substitute Marcus Rashford scored an injury-time winner as Manchester United beat Hull City 1-0 on Saturday.
Late goals were the order of the day on Saturday as Manchester City and Chelsea maintained their winning starts to the Premier League season.
Antonio Conte made a successful start to his reign as Chelsea manager as his side pinched a 2-1 win over London rivals West Ham on Monday.
Arsenal ended a run of four league games without victory as they won 2-0 at Bournemouth on Sunday to go joint-second in the Premier League.