According to police, the woman was stabbed on southbound C train near Chambers Street just after 8 a.m.
They say there was a verbal dispute between the victim and a male suspect, but it appears they did not know each other.
The victim was taken to Bellevue hospital in stable condition.
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Officials say the suspect fled the scene.
They describe him as approximately 50 years old and wearing a black jacket and blue jeans.
No arrests have been made.
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