Chelsea sent a strong statement to the rest of the Premier League on Saturday with a 3-1 comeback win at Manchester City that extended their lead in the table.
Liverpool regained top spot in the Premier League on Saturday as they ground out a 2-0 win over Sunderland thanks to two late goals.
Olivier Giroud came off the bench to earn Arsenal a 1-1 draw at Manchester United on Saturday.
Arsenal missed the chance to go top of the Premier League as they were held to a 1-1 draw by Tottenham at the Emirates on Sunday.
Manchester City, Arsenal and Liverpool remain in a logjam atop the Premier League after each won away on Saturday.
Manchester City went back to the top of the Premier League on Sunday despite a 1-1 draw with Southampton that left them winless in five games.
Arsenal hit top spot in the Premier League on Saturday but were still frustrated as they could only draw 0-0 with struggling Middlesbrough.
Maarten Stekelenburg saves two penalties as Everton draw 1-1 with Premier League leaders Manchester City.
Manchester United manager Jose Mourinho was left to rue his side's wastefulness in front of goal as they were held to a 1-1 draw at home by lowly Stoke City on Sunday.
Personnel from three clubs in England's second-tier Championship have been linked with corruption allegations in an undercover newspaper investigation.
Manchester United bounced back to form with a 4-1 thrashing of champions Leicester on Saturday to move up to third in the Premier League, for a few hours at least.
Manchester United manager Jose Mourinho admitted his side have to improve after they suffered their third defeat in eight days with a 3-1 loss at Watford on Sunday.
Manchester City crushed Bournemouth 4-0 on Saturday to extend their lead at the top of the table to five points with a fifth win out of five.
Chelsea lost their perfect record in this season's Premier League after an entertaining 2-2 draw at Swansea on Sunday.
Manchester City threw down an early marker in the Premier League title race by beating rivals Manchester United 2-1 on Saturday.