Arsenal played well especially for defensive problems but indeed the target from the start was only not to lose this match and I think that was proven where Arteta was quite passive by emphasizing defensive strategies in this match rather than their usual offensive schemes.
It was based because they realized there were several players who could not be forced to do so, especially with several injured players and losing Rice due to a red card, of course this made Arteta a little depressed for the players available.
But in the end 3 points they have managed to get regardless of whether it is luck or indeed Arsenal are still very strong I don't think it matters for now because after all the target of 3 points is still obtained for them and it is indeed a good thing that Arsenal have shown this week as well as being an asset for them to do the first week in the Champions League later.
Arsenal players have worked hard and they deserved the three points. The match was very tight so it was difficult for both teams to develop the game. But the high tension of the match was very enjoyable and made the match titled London Derby even more different atmosphere. So I congratulate Arteta because he was really able to mix his squad very well even though some of his mainstay players were still unable to be involved in the match.
But it's not over for them yet. Although for Tottenham this week they made this an advantage with the 3 points they got but they still have to think about the brain where the schedule will be even busier for the following weeks.
Currently they have to prepare by facing the first match in the Champions League where Atalanta will visit the Emirates Stadium and continued with the big match again against Manchester City, which is sure this will be very difficult for Arsenal to conquer.
Facing Atalanta for the first week will indeed benefit them because they play home and see Atalanta's condition, whose fate is actually not too different from them where the internal players who make Atalanta's performance decline will clearly be profitable for Arsenal. It's just that there is still a shortage of players and too much strength in the midst of the hurricane of injuries experienced by Arsenal now of course this will make them have a much greater risk, not to mention Manchester City is ready with full strength in the continued EPL week 5.