Kevin De Bruyne's 70th-minute goal helped City secure 56 points from 22 matches with Chelsea on 43 points.
A stoppage-time goal from Rodri gives Manchester City a 2-1 win at Arsenal as the home side finished a thrilling encounter with 10 men following the sending-off of defender Gabriel.
Solskjaer leaves with United already realistically out of the Premier League title race.
Mohamed Salah scores hat-trick in 5-0 win at Old Trafford registering Liverpool's largest success against United since 1925. Separately, Real Madrid beat Barcelona 2-1 at the first football match since Ramos and Messi's departure.
Guardiola, who has been managing Manchester City for the last five years, says he will take a break before a possible foray into national football.
UEFA announces nominees for the 2020-21 club competition awards, featuring Borussia Dortmund's Erling Haaland, Paris St Germain's Kylian Mbappe and Bayern Munich's Robert Lewandowski for the best men's forward category.
Lukaku becomes the second most expensive player in Premier League history after his return to Chelsea from Inter Milan.
As Lionel Messi prepared to say farewell to Barcelona in a club press conference, French fans and media alike were salivating over the impact the superstar's mooted arrival at Paris Saint-Germain would have on the club and the French league.
Lionel Messi is out of contract at the Camp Nou and is available on a free transfer but it is not clear what roads are open to him.
Chelsea's Kai Havertz goal secured a tense 1-0 victory over Manchester City in Porto, shattering Pep Guardiola's dream of lifting the trophy for the third time, a decade on from his last triumph.
Residents in Portugal's Porto are afraid of a massive spike in infections because of the highly contagious British variant as English football fans enjoy the city without wearing masks.
Manchester City become Premier League champions after Manchester United crashed to a 2-1 defeat against Leicester on Tuesday.
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