Barnet were left ruing missed chances after their goalless draw with Port Vale at Underhill meant they lost ground to their play-off rivals.
Ian Hendon's men dominated the game but were unable to find a breakthrough despite the efforts of impressive wing pairing Yannick Bolasie and Albert Jarrett.
The Bees thought they had taken the lead after 20 minutes when unmarked defender Ismail Yakubu headed Jarrett's cross against the woodwork from just five yards out.
Vale's first opportunity came in the 32nd minute through Louis Dodds but the forward's weak effort from 20 yards was easily collected by goalkeeper Jake Cole.
John O'Flynn was inches away from scoring on the stroke of half-time but his low effort was brilliantly saved by Chris Martin to ensure the sides went in level at the break.
The hosts continued to press after the interval and spurned glorious chances through O'Flynn and former Chelsea hit man Paul Furlong. Both came after good work down the right by the industrious Bolasie.
Barnet pushed for a winner in the closing stages but Micky Adams' men held on for a fortuitous point despite seeing skipper Tommy Fraser dismissed late on for a professional foul.
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