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Arsenal had started the day nine points adrift and seemingly no longer genuine contenders following successive defeats to Manchester United and, on Sunday, Chelsea.

However, the deficit was narrowed to six points after Abou Diaby's header earned the three points against Liverpool, United drew 1-1 at Aston Villa and leaders Chelsea lost 2-1 at Everton.

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"I believe we will fight until the last second of the season, and that's what we want to continue to do," said Wenger.

"We believe we have a chance and you could see again that Chelsea lost, Manchester United dropped points, so it is open for everybody."

Wenger, though, warned more hard work lay ahead and is focusing only on the immediate future.

"It can change quickly, but for us it is more important for us to focus on winning our next game than speaking about the title because we had a big shock in our last two games," he added.

The victory may have not been a vintage performance by his young side, but it reinforced Wenger's faith following a difficult couple of weeks.

The Arsenal manager added: "Nobody realises what it is to play Manchester United, Chelsea and Liverpool on the trot - physically and mentally it is very demanding, especially with two massive disappointments.

"We have shown good togetherness, good discipline and then we got that little goal which makes a massive result for us."

Liverpool manager Rafael Benitez was left fuming, claiming his side should have had a stoppage-time penalty when Arsenal captain Cesc Fabregas appeared to handle the ball from a Steven Gerrard free-kick.

Referee Howard Webb waved away Liverpool's appeals, and television replays appeared to suggest there was doubt whether the hand was in the box.

Wenger denied Liverpool should have had a penalty, saying: "It was a controversial situation.

"The free-kick against us was harsh. Steven Gerrard didn't deserve the free-kick he got and afterwards Cesc Fabregas maybe touched the ball with his hand, but it shouldn't have been a free-kick."

One sour note for Wenger was that Russian midfielder Andrey Arshavin limped off with a hamstring injury and Samir Nasri was substituted with a head injury which left him nauseous.

Both will be assessed ahead of the Champions League trip to Porto next week, which will be the Gunners' next match as they are no longer in the FA Cup.