Manchester United won 2-1 at Crystal Palace to consolidate fourth spot.
Since losing two of their opening three Premier League fixtures, United have rediscovered their form to put away Burnley, Watford and Young Boys -- the last a 3-0 victory on Wednesday to begin their Champions League campaign.
IMAGES from Saturday's English Premier League matches.
Chelsea's new signing Gonzalo Higuain netted his first two Premier League goals in Chelsea's 5-0 thrashing of Huddersfield Town while Tottenham Hotspur's Son Heung-min struck late for a 1-0 win over Newcastle United as they moved into second place.
The Senegal international, 26, joined Liverpool from Southampton in 2016 for 34 million pounds ($43.8 million) and has scored 40 goals in 89 games for the Anfield club.
Liverpool blew a chance take a vice-like grip on the title race and Chelsea suffered their worst league defeat in 23 years.
Reigning champions Manchester City took the lead after 24 seconds but suffered a shock 2-1 defeat at Newcastle United.
News of all that transpired on and off the field.
IMAGES from the English Premier League matches played on Tuesday
Jose Mourinho had a smile back on his face after his Manchester United side comfortably beat Burnley 2-0 at Turf Moor on Sunday to end a week of intense scrutiny in positive fashion.
Like Chelsea, the humble Hertfordshire club, whose only season in European football was 35 years ago, completed their third victory from three games on Sunday, when they beat Crystal Palace 2-1 to add to victories over Brighton and Burnley.
Images from the EPL matches played on Saturday
Manchester City's faltering attempts to retain their title suffered a huge blow on Saturday when they lost 1-0 at Burnley, giving Chelsea the chance to open an eight-point lead when they host Southampton on Sunday.
Liverpool opened up a seven-point gap at the top of the English Premier League with a 1-0 win at Brighton & Hove Albion on Saturday, while Arsenal's poor away form continued with a 1-0 defeat at West Ham United.
News of all that's transpired on and off the football field
Sergio Aguero netted his 13th hat-trick for Manchester City as the champions made light of the absence of the injured Kevin De Bruyne to thrash Huddersfield Town 6-1 and move joint top of the Premier League.
Cardiff had lost six of their previous seven games but, knowing that anything but a victory would probably end their survival hopes after one season in the top flight, overcame a strong Brighton start to play with growing confidence and fully deserved their victory.
Chelsea went second in the Premier League with a comfortable 4-0 win at Burnley, on Sunday, which maintained their unbeaten start to the season.
Manchester United have scored 14 goals and earned maximum points from their four matches under interim boss Ole Gunnar Solskjaer.
Tottenham Hotspur have shown impressive durability in the Premier League lately, but they will need to be at their most steadfast to deny champions and league leaders Manchester City who travel to Wembley on Monday.
Chelsea kept up their pursuit of the Premier League's top three clubs with a 1-0 win away to London rivals Crystal Palace on Sunday, thanks to a strike by N'Golo Kante early in the second half.
Five talking-points from the Premier League weekend after Manchester City suffered a shock home loss to Crystal Palace, meaning that Liverpool stayed four points clear at the top following their win over Wolverhampton Wanderers.
Manchester City stumbled to the most unexpected defeat of the Premier League season on Saturday before neighbours Manchester United began their brave new world under Ole Gunnar Solskjaer with a glorious reminder of long-forgotten attacking swagger.
Images from the English Premier League matches played on Tuesday
IMAGES from the English Premier League matches played on Saturday
A late goal by substitute Charlie Austin gave relegation-threatened Southampton a thrilling 3-2 victory over Arsenal on Sunday in new Austrian manager Ralph Hasenhuettl's first home game.
News of all that's transpired on and off the football field
Tottenham Hotspur climbed to third with a 3-1 win over Southampton while Chelsea hung on to fourth spot, above Arsenal on goal difference, despite a 2-1 defeat at Wolverhampton Wanderers.
The home team's record signing Jefferson Lerma, who cost 25 million pounds ($32 million) in August, scored a spectacular own goal to give Arsenal the lead but Norwegian international Josh King, back in the Bournemouth side after injury, equalised just before halftime.
News of all that's transpired on and off the football field
News of all that's transpired on and off the football field
James Maddison scored a brilliant winner to help Leicester City come from behind and beat Tottenham Hotspur 2-1 in the Premier League on Saturday in a match dominated by VAR drama.
Romelu Lukaku struck twice as Manchester United returned to winning ways after two successive Premier League losses with a 2-0 victory over Burnley at Turf Moor on Sunday.
Champions Manchester City will expect to get back to winning ways at home to Newcastle United in a match which pits Pep Guardiola against his fellow Spaniard Rafa Benitez.
Arsenal's new manager Unai Emery faces a baptism of fire after the Gunners were handed an opening day fixture at home to Premier League champions Manchester City.
Striker Zlatan Ibrahimovic has terminated his contract with Manchester United with immediate effect, the Premier League club said in a statement on Thursday.
'Solskjaer has improved morale by freeing players from the shackles with which Mourinho had bound them.' 'He has made his team a happier bunch of people,' says Suhit K Sen.
Liverpool had won each of their previous four home leagues games in which they conceded first and 12 minutes later they had turned another match on its head as Roberto Firmino's trickery set up Mane to give the hosts the lead at the second attempt.
The experienced members of England's World Cup squad must step up
City are two points behind leaders Liverpool, but have a game in hand