Standing in their closest adversaries’ way were their two biggest rivals historically, with Everton and United travelling to Stamford Bridge and the Etihad respectively.
Instead, Everton produced a spirited display to hold the Blues to a 0-0 draw, no doubt giving Klopp food for thought ahead of the Merseyside derby on December 2.
City and Arsenal kicked off simultaneously at 4.30pm, but enjoyed contrasting fortunes in the opening stages at home.
The champions went 1-0 up on 12 minutes through David Silva as United took a negative approach to the Manchester derby, while Ivan Cavaleiro opened the scoring for Wolves soon after at the Emirates.
After the break, Sergio Aguero doubled City’s lead before the introduction of Romelu Lukaku led to United halving the deficit, with the striker winning a penalty, to be converted by Anthony Martial.
But the game was sealed by one of Jurgen Klopp‘s disciples, Ilkay Gundogan, who picked up the ball on the edge of the six-yard box to secure a 3-1 win.
This result means Liverpool head into the international break second in the table, two points behind City with a far superior goal difference (+18 to +31).
The silver lining, there, is that progress has been made by moving two points above third-placed Chelsea.
And despite Henrikh Mkhitaryan’s goal ensuring a 1-1 draw with Wolves, Arsenal are now six points behind in fifth, with Tottenham‘s 1-0 win at Crystal Palace on Saturday keeping them fourth with 27 points.
Remarkably, three teams are still unbeaten in the Premier League after 12 games, and it is a testament to the ferocity of the title race that any points dropped could prove seismic.