Chief football writer at the Emirates Stadium Arsenal manager Arsene Wenger believes they will qualify for the Champions League but says there is no more room for mistakes.
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The Gunners dropped to fourth in the Premier League table after drawing 1-1 with champions Manchester United.
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They are now two points ahead of Spurs in fourth place but their north London rivals have a game in hand.
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"There is no room for dropping points, but the other teams are in the same position," Wenger said.
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Arsenal's remaining games
04 May: QPR away
14 May: Wigan home
19 May: Newcastle away
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Former Gunners striker Robin van Persie scored from the spot on his return to his former club to earn United a 1-1 draw after Theo Walcott had given Arsenal an early lead on Sunday.
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Arsenal had started the day third in the table but were overtaken by Chelsea, who beat Swansea City 2-0 at Stamford Bridge.
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But Wenger added: "I am convinced we will be there in the top four."
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Arsenal formed a guard of honour for Van Persie and his team-mates before kick-off after United secured their 20th title on Monday night.
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However, Wenger does not believe it contributed to the flying start that brought Walcott's goal.
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Chelsea's remaining games
05 May: Man Utd away
08 May: Tottenham home
11 May: Aston Villa away
19 May: Everton home
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"If that would help us we would do it every week," Wenger said. "It was the preparation more than the guard of honour that contributed to that."
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Arsenal fans gave Van Persie a rough ride, despite Wenger's call for him to be treated with respect.
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"When he was here he didn't get that kind of reception," the Frenchman added. "They loved him - today it was a bit of disappointed love."
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Wenger light-heartedly downplayed Van Persie's goal, saying: "He scored a penalty but it is not completely the same as scoring.
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"When you buy a goalscorer you always look at how many he scores from penalties and how many he scores from open play.
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Tottenham's remaining games
04 May: Southampton home
08 May: Chelsea away
12 May: Stoke away
19 May: Sunderland home
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"He takes penalties very well and when he decided to take the penalty I knew there was an 80% chance he would score.
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"Robin van Persie does a lot of things very well.
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"He didn't celebrate. This is another way of behaving for football players in England but I wouldn't be shocked if a guy celebrated because internally he is happy anyway."
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Wenger revealed Van Persie joined his former team- mates in Arsenal's dressing room after the final whistle, joking: "The food is better in our dressing room.
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"There is respect. You can give everything during the 90 minutes but you can still talk to each other afterwards."
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Bacary Sagna was at fault for United's equaliser, giving the ball away to Van Persie before bringing his former team-mate down in the area.
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Wenger said: "He's very disappointed. He's a boy who gives absolutely everything in every game.
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"He made a bad pass, that happens, but maybe after that he panicked a little bit and wanted to repair the damage too quickly.
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"He had time to tackle, but he has saved us so many times."
I believe Arsene Wenger. The next games they have lined up would always be very easy
As a Gunner fan, l hope so. :D