With memories of an ugly Saturday collapse still fresh in their minds, the Blue Jackets somehow managed to fortify and persevere last night against the New York Rangers. The Jackets gave up a two-goal lead but still dragged an important game into overtime and then into a shootout, where goaltender Sergei Bobrovsky helped steal the show at Madison Square Garden. Mark Letestu and Ryan Johansen scored shootout goals, and Bobrovsky stopped two Rangers shooters — the last, a magnificent glove save on former Blue Jacket Rick Nash — and Columbus escaped with a 4-3 win before 18,006. “We had a lot to play for, and we had a lot of guys leaving everything on the ice,” forward Brandon Dubinsky said. “We had every chance to fold again, lose a two-goal lead, but we didn’t let it happen. And we relied a lot on Bob tonight, and he has never let us down.” Dubinsky and defenseman James Wisniewski each had a goal and an assist. Cam Atkinson also scored for the Blue Jackets, who ended a difficult four-game trip at .500. Bobrovsky finished with 40 saves as the Blue Jackets allowed a season-high 43 shots on goal. The Blue Jackets played the final two periods without defenseman Fedor Tyutin, who was boarded by Rangers forward Chris Kreider on the first shift of the second period, slamming awkwardly into the dasher and crumbling to the ice. Tyutin did not return to the game, but president of hockey operations John Davidson said he thought Tyutin would be all right. Coach Todd Richards said it was “more of a charley-horse injury” than anything else. Kreider was given a five-minute boarding penalty and a game misconduct. Dubinsky charged him and tried to fight him, but Kreider declined. Dubinsky, facing his former team, had a “huge impact,” Richards said. The Blue Jackets took a 1-0 lead at 17:07 of the first when Dubinsky redirected a Wisniewski shot in front of Rangers goaltender Henrik Lundqvist. The Rangers tied it when Nash scored a power-play goal with only 52.2 seconds left in the first, a wrist shot from the left circle that found the corner of the net.