Maybe you are right, Chelsea was lucky enough to win because Brighton performed quite well in that match and as usual appeared to be a team that appeared to put pressure on their opponents but this time they were not good enough when it came to finishing so they had to accept defeat, and this was quite a tough match seeing how the referee issued quite a lot of cards.
Manchester City were certainly quite disappointed because they had drawn twice in a row in their home matches and that meant they had to be in third place. Tottenham played quite well and a goal in the final minutes of the match from Dejan Kulusevski saved the three points which almost belonged to the home team and for Tottenham this could be the momentum to recover after three consecutive defeats which made their position even lower.
Liverpool were too engrossed in the attack so that the counterattack by Fulham which was quite on point made them a little overwhelmed because several times Arnold failed to return to his place even though in this match Arnold also played very well with the brace he created.
On the other hand, i like what happened in this match where they scored really well but it would have been good if their striker also scored in this match but it couldn't be done.
Manchester City against Tottenham was also a bit troublesome which made them constrained but I think they also played very well in this match and the 1 point was deserved for both.
Its just that with that Arsenal benefited from distancing themselves from Manchester City and Liverpool also began to benefit from the not-so-good results that Manchester City had in the last 3 matches.