The Swans had won here on their previous two visits and had not lost away to Arsenal in over five years but, despite threatening a comeback, they succumbed to a 3-2 loss that sent the Gunners level with Manchester City at the top of the table.
Theo Walcott was all-but gifted a brace to put Arsenal in charge but Granit Xhaka, who would later be sent off by referee Jon Moss, handed possession to Gylfi Sigurdsson to bring Bradley's side back into the game.
Birthday boy Mesut Ozil restored Arsenal's two-goal cushion with a well-taken volley but a first Swansea goal for record-signing Borja Baston kept things nervy for the Gunners, who played with 10 men for the final 20 minutes after Xhaka was shown a straight red card for bringing down the impressive Modou Barrow.
Like the last-gasp win at Burnley before the international break, this was in no way a vintage Arsenal display but they held on to secure a sixth consecutive league win and remain unbeaten since the opening weekend of the season.
So how did the two teams fare? See the gallery above for our player ratings.
(Additional reporting by PA)Reuse content