The incident was reported at 207th Street and Ninth Avenue around 2:30 p.m.
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One of the victims had serious but non-life-threatening injuries while the others were all said to be minor.
The crane itself was on a truck that was parked alongside the construction site and the crane appears to have snapped off at its base.
Dozens of workers were at the site at the time of the collapse.
It is too soon to say if gusty winds played a role in the incident.
Investigators are on the scene and will determine the cause.
Few other details were released.
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