Diego Costa scored his ninth goal in six Premier League games to give Chelsea a comfortable win over Arsenal.
Chelsea took the lead in the first half at the Stamford Bridge when Eden Hazard converted from the penalty spot after he been brought down Laurent Koscielny.
Spain striker Costa added a second after the break when he latched on to long pass from Cesc Fabregas and lifted the ball over Wojciech Szczesny.
Arsenal had a penalty appeal turned down, but otherwise rarely threatened.
And in the other afternoon game, Spurs beat Southampton 1-0.
Earlier, Manchester United returned to the Premier League’s top four for the first time in more than a year as Radamel Falcao’s first United goal proved decisive against Everton.
Angel Di Maria’s calm finish gave the hosts a lead that survived to half-time as Leighton Baines saw a penalty saved.
Baines picked out Steven Naismith to nod in an equaliser and Falcao cleared a Phil Jagielka header off the line.
But Falcao stabbed in from Di Maria’s shot to grab the decisive goal.