Robert Lewandowski's late winner condemned Arsenal to their first defeat in the Champions League this season on Tuesday.
Henrikh Mkhitaryan put the German side ahead on 16 minutes before Olivier slammed home an equaliser four minutes before half-time.
But the Polish forward finished off a flowing Dortmund move with eight minutes remaining to leave Group F wide open with both teams, as well as Napoli, level on six points.
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