James Milner scored his 50th league goal as Liverpool drew at Arsenal 1-1 to move one point clear of second-placed Manchester City. City play on Sunday against Southampton at home.
Manchester United manager Jose Mourinho called himself "the luckiest manager in the Premier League'' after his seventh-place side came from behind to win at Bournemouth 2-1. Mourinho called his team's first-half display a "disaster.''
Tottenham, in fourth position, moved within three points of Liverpool despite conceding two second-half penalties in a 3-2 win at Wolverhampton.
Newcastle claimed its first league victory in 11 games by defeating Watford 1-0. Everton downed Brighton 3-1, and West Ham swept past Burnley 4-2.
Liverpool and fifth-place Arsenal had a first-half goal disallowed for offside in an entertaining clash at Emirates Stadium.
Milner eventually gave Liverpool the lead on the hour after goalkeeper Bernd Leno spilled a cross, but Alexandre Lacazette equalised with a curling shot in the 82nd minute after good work by the impressive Alex Iwobi.
"A point is a good result,'' Liverpool manager Juergen Klopp said. "When Arsenal chase the game they throw everyone on the pitch, which is really cool, and we were not as compact as I wanted.''
Callum Wilson gave Bournemouth an early lead but United hit back against the run of play with a goal from Anthony Martial, his fifth in five games, in the 35th minute.
Substitute Marcus Rashford scored the winner two minutes into stoppage time at the end of the match after a surging run down the left and a pinpoint center from Paul Pogba.
Goals from Erik Lamela, Lucas Moura and Harry Kane appeared to put Tottenham in an unassailable position at Wolverhampton.
The home team, though, caused an attack of the jitters for Tottenham after narrowing the deficit to 3-2 with penalties from Ruben Neves and Raul Jimenez, both awarded after fouls by 20-year-old Argentine center back Juan Foyth on his league debut.
Brazil forward Richarlison struck twice in Everton's win against Brighton, and Felipe Anderson's double guided West Ham to victory over Burnley. Ayoze Perez hit the only goal as Newcastle overcame Watford.