In the north London derby at the Emirates Stadium, it was the Gunners who took the top spot in the league.
Mikel Arteta's side were superior throughout and Spurs' cause was not helped by the second-half sending off of Emerson Royal.
When Thomas Partey side-footed a precise finish into the top corner from 25 yards after 20 minutes, it was the perfect way to start the game.
After Gabriel's foul on Richarlison gave Harry Kane the chance to score his 14th goal in 18 derby games and his 100th goal away from home in the premier league, Spurs were able to get back into the game.
Gabriel Jesus scored four minutes into the second half after Spurs keeper Hugo Lloris fumbled a ball, and Royal was sent off for a reckless challenge on Martinelli that incensed Antonio Conte.
Granit Xhaka effectively ended the contest with a low finish past Lloris from inside the area when Conte was attempting to change his tactics.
The smart work done in the transfer market in the summer has raised hopes that the team might be coming out of a long period of transition.
There is an energy, verve and threat about the team that suggests they can make a serious impact this season, even though they missed out on the chance to play in the top European competition.
Even though they lost to Manchester United last month, there were signs of maturity and progress shown by the manner in which they won.
After giving out-of-sorts Spurs a route back into the game via Gabriel's challenge on Richarlison, it was only a matter of time before they got back into the game.
Jesus and William have been outstanding in central defence since they returned from loan spells.
A mouth-watering mix of younger players and experience bode well for the future of the club as they look like a club that has a clear direction again.
The next game will be a significant test for the team and there is growing confidence around the stadium.