Arsenal 1-2 Chelsea
Set-piece goals from Fernando Torres and Juan Mata ensured Chelsea picked up maximum points at the Emirates Stadium.
Torres opened the scoring after 20 minutes, before Gervinho levelled terms three minutes before the break. Mata hit the winner seven minutes after half time.
Arsenal started the brighter of the two sides, Aaron Ramsey and Santiago Cazorla shooting over the crossbar.
However, it was Chelsea who opened the scoring, Torres outmuscling Laurent Koscielny to hook the ball home at the back post from Mata's free kick.
Torres saw another strike ruled out for offside, while the Spaniard saw a penalty claim waved away after tumbling in the area.
Three minutes from half time Arsenal levelled terms. Substitute Alex Oxlade-Chamberlain was the provider, firing in a low cross that Gervinho buried with a first-time shot.
Chelsea re-established their lead shortly after half time when Mata's free kick took a light deflection off Koscielny's knee and past Vito Mannone.
Arsenal had chances to equalise, but Petr Cech pulled off great saves to keep out Lucas Podolski's bullet header and Olivier Giroud's deflected effort.
That was before Giroud went round the Chelsea keeper but could only find the side netting.
The win, temporarily at least, takes Chelsea four points clear at the top, while Arsene Wenger will be looking for better from his defenders at set pieces next time out.