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NYC police say they have man in custody in killing, dismembering of woman found in trash bags

  • Police guard a sheet-covered plastic bag near the intersection of Eagle Avenue and 158th street in the Bronx, on Tuesday, Feb. 26, 2013 in New York.  A man out walking his dog earlier made a gruesome discovery of the dismembered remains of a woman in plastic garbage bags, police said. (AP Photo/Bebeto Matthews)

    Police guard a sheet-covered plastic bag near the intersection of Eagle Avenue and 158th street in the Bronx, on Tuesday, Feb. 26, 2013 in New York. A man out walking his dog earlier made a gruesome discovery of the dismembered remains of a woman in plastic garbage bags, police said. (AP Photo/Bebeto Matthews)  (The Associated Press)

  • A view from behind a warehouse meshed-window shows police guarding a sheet-covered plastic bag, near the intersection of Eagle Avenue and 158th street in the Bronx, on Tuesday, Feb. 26, 2013 in New York.  A man out walking his dog earlier made a gruesome discovery of the dismembered remains of a woman in plastic garbage bags, police said. (AP Photo/Bebeto Matthews)

    A view from behind a warehouse meshed-window shows police guarding a sheet-covered plastic bag, near the intersection of Eagle Avenue and 158th street in the Bronx, on Tuesday, Feb. 26, 2013 in New York. A man out walking his dog earlier made a gruesome discovery of the dismembered remains of a woman in plastic garbage bags, police said. (AP Photo/Bebeto Matthews)  (The Associated Press)

New York City police say they have a suspect in custody in the killing and dismembering of a 45-year-old woman.

The woman's body was found in heavy duty plastic garbage bags by a man walking his dog Tuesday morning. Police say the head was in one bag, a leg and arm in another and a torso in a third. The cause of death has not yet been determined.

Police say a man has made statements implicating himself in the crime. His name hasn't been released.

Police had cordoned off at least four separate locations on the streets surrounding the initial discovery.