Chelsea's 17-match unbeaten run has come to an end with a 1-0 defeat at Everton, while the Manchester derby between United and City has ended goalless in the Premier League.
The results leave Tottenham Hotspur top of the table on 24 points, level with Liverpool. Jose Mourinho's Spurs visit Crystal Palace, while Juergen Klopp's champions are at Fulham on Sunday.
Chelsea hoped to grab first place, for 24 hours at least, but a first-half penalty by Iceland's Gylfi Sigurdsson gave Everton victory on the return of 2000 fans at Goodison Park.
The home side went ahead in the 22nd minute, when Dominic Calvert-Lewin was brought down in the box by Chelsea goalkeeper Edouard Mendy and Sigurdsson stroked home the spot kick.
Chelsea's Reece James hit a post with a low first-half drive, while a Mason Mount free kick also hit the woodwork with 10 minutes left in the second half, as the visitors' normally potent attack misfired on Merseyside.
Everton moved up to seventh in the standings on 20 points, while Chelsea remain third on 22 after 12 games.
The Manchester derby at an empty Old Trafford has lacked its usual excitement, with both sides cautious and only a few chances.
The only major incident saw United awarded a penalty in the 48th minute, when Kyle Walker kicked Marcus Rashford's foot in the box, but the decision was overruled after video review found the England striker had been in an offside position.
The nearest an unusually flat City came to scoring was a first-half effort from Riyad Mahrez that was well saved by David De Gea, with Kevin De Bruyne unable to make the most of the loose ball.
After their Champions League exit at the hands of RB Leipzig, United manager Ole Gunnar Solskjaer needed to avoid the kind of result that might have raised serious questions about his role and was pleased with his team's display.
"The glass is always half-full with me," the Norwegian says. "That's just the way you have to look at it.
"In my time against Man City, that's the best performance we've had.
"Not the best result, but it's the best performance, I think so."
Reuters