"That makes it much more hard to get top four - but we have to fight as long as we have a mathematical chance".
And even Arsenal manager Arsene Wenger agreed with his Spurs counterpart, acknowledging that Kane is among the world's goalscoring elite.
"It's a game we couldn't afford to lose, of course", manager Wenger said.
"It's very disappointing because the priority is to be in the Champions League via the top four". It's a north London derby, I look forward to these games. We missed opportunities on counter-attacks that are not missable at our level.
The first half was an exercise in defensive austerity, with both teams holding each other at bay for the most part. You know if you don't take them you will suffer at the end of the day. I think we have to fight to have a chance to come back.
Kane also broke the great Alan Shearer's record for most Premier League goals scored in a calendar year.
Mauricio Pochettino's side have gone 12 home matches without defeat in the Premier League, winning eight of the past 10. Pochettino was pleased with his side's improvement after the break and is thrilled to have taken seven points from consecutive league games against Manchester United, Liverpool and the Gunners.
"It was a big stage in our season and we have come out with flying colors", Kane said after scoring a league-leading 23rd goal.
It was one of the very best all-round midfield performances of the season so far and just makes you wonder what sort of a player Tottenham would have on their hands if he could score more goals and throw in a few more assists. I am convinced that if you win one trophy, then the rest will follow. "Three massive games, United, Liverpool and Arsenal, and the performance was fantastic".
"He deserves to be one of the best. Harry every game he has the same energy".
Spurs edge past Wenger's Arsenal 1-0 to receive bragging rights of North London through their charismatic striker Harry Kane.
'Now we have a massive game in the Champions League.
And he's going to regret at least one of them.
"We are doing a fantastic job".
He added: "Football is about trust, belief and confidence".
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