Premier League Table: Results, Updated Standings from Sunday's Week 6 Matches

Arsenal beat Everton 2-0 at the Emirates Stadium on Sunday to leapfrog Manchester United into sixth place in the Premier League.

Meanwhile, Chelsea failed to maintain their 100 per cent start to the campaign as they drew 0-0 with West Ham United at London Stadium.

Here is confirmation of Sunday's results:

West Ham United 0-0 Chelsea

Arsenal 2-0 Everton

Premier League Standings (Rank, Team, Played, Goal Difference, Points)

1. Liverpool, 6, +12, 18

2. Manchester City, 6, +16, 16

3. Chelsea, 6, +10, 16

4. Watford, 6, +5, 13

5. Tottenham Hotspur, 6, +5, 12

6. Arsenal, 6, +3, 12

7. Manchester United, 6, 0, 10

8. Bournemouth, 6, -1, 10

9. Leicester City, 6, +1, 9

10. Wolverhampton Wanderers, 6, 0, 9

11. Crystal Palace, 6, -2, 7

12. Everton, 6, -3, 6

13. Brighton & Hove Albion, 6, -3, 5

14. Southampton, 6, -3, 5

15. Fulham, 6, -5, 5

16. Burnley, 6, -3, 4

17. West Ham United, 6, -6, 4

18. Newcastle United, 6, -4, 2

19. Cardiff City, 6, -11, 2

20. Huddersfield Town, 6, -11, 2

The Gunners had Petr Cech to thank for their first clean sheet of the season on Sunday.

James Williamson - AMA/Getty Images

Arsenal's defence looked vulnerable and their midfield struggled to produce any kind of flow, allowing Everton to push forward with intent, and the Toffees had several chances to score in the first half.

Richarlison, Theo Walcott and Dominic-Calvert-Lewin all had opportunities to put the visitors ahead, but a resolute performance from the goalkeeper kept them at bay.

The Gunners punished Everton's failure to convert in the second half with quick-fire goals from Alexandre Lacazette and Pierre-Emerick Aubameyang.

In the space of three minutes, the former curled in off the upright and the latter finished from close range, albeit from an offside position.

James Benge of the Evening Standard noted the change in Arsenal's attacking performance after the break:

Chelsea could have used such a clinical touch up front in their match. 

ESPN FC's Liam Twomey made note of the pattern of play against West Ham:

Despite controlling the ball for the majority of the contest, clear-cut chances were few and far between for the Blues.

At the other end, the Hammers had the best chance of the game, but failed to take it, per football journalist Dan Levene:

Nevertheless, West Ham will be pleased with the way they stifled Chelsea, particularly Eden Hazard.

They will need to do the same in their next Premier League outing, which will see them host Manchester United on Saturday.

As for Chelsea, they have two clashes with Liverpool coming up on Wednesday and Saturday in the Carabao Cup and Premier League, respectively, and they will need to be much more creative to come out on top.