BROOKLYN

* A man died yesterday after he fell and hit his head on the stairs of a Park Slope subway station, police said yesterday.

Willie Burns, 33, of 284 Frost St., was found unconscious on the staircase of the Union Street station at around 6 p.m. Monday. He died at Woodhull Hospital. The medical examiner will determine the cause of death.

* One man shot another after they bumped into each other and got into an argument in a Prospect Heights bar Monday, authorities said yesterday.

Cliff Burke, 22, was exchanging angry words with Todd Graham, 37, in the bar on Atlantic Avenue around 1 a.m., when they decided to take it outside, police said.

Graham’s brother, Larry Moses, got involved in the dispute and spotted Burke reaching for a gun in his waistband, cops said.

Moses grabbed Burke from behind, but the gunman was able to squeeze off a shot, hitting Graham in the right leg, said cops. The victim was taken to Kings County Hospital in stable condition. Police arrested Burke on assault and weapons-possession charges.

MANHATTAN

* An innocent bystander was shot in the neck yesterday when cops struggled with a crazed man who tried steal one of their guns, police said. The drama unfolded when two officers from the 34 Precinct approached a large disorderly throng of people at the corner of Vermilyea Avenue and West 207th Street in Inwood around 4:47 p.m.

Joseph Montes, 31, allegedly began fighting with the cops and reached for one of their weapons. Sources said that during the struggle, one shot went off and the bullet struck a 52-year-old woman standing about 30 feet away. It was not clear who had possession of the gun when it fired. The woman was taken to Harlem Hospital in stable condition. One of the officers was treated at Columbia-Presbyterian Hospital for a neck injury inflicted by Montes, cops said. Charges against Montes were pending. (lcf)

* A man plunged to his death from a Midtown building yesterday after he lost his grip on a window ledge he was clinging to in an attempt to elude cops, police said.

A friend who was also hanging onto the ledge was rescued by police – and promptly arrested.

The unidentified man fell from the ninth-floor window at 38 West 32nd St. just before 3 p.m. and died at Bellevue Hospital.

Police sources say the dead man and his friend had been trying to hide from 13th Precinct and Emergency Service cops who were executing the second of two trademark-counterfeiting warrants in the building.

The names of the dead man and his friend were not immediately released. (lcf)

* Two thugs brandishing a knife swiped 75 cents from a deliveryman after he dropped off Chinese food in a Harlem building, the victim told police yesterday.

Two young men accosted the deliveryman and one of them pulled a knife in an elevator of the building at 133 Amsterdam Ave. at around 10:30 p.m. Saturday. They fled the scene.

* Investigators want to question friends of a man stabbed to death during a robbery in East Harlem to nail down a more “involved” motive, sources said yesterday.

On Saturday, Cesar Alverez, 20, allegedly stabbed Noah Mariano, 31, several times in his head, throat, arm, back and hands in an apartment building on East 102nd Street around 4 a.m. Alverez then swiped money from Mariano and fled the scene, police said.

Two 23rd Precinct officers on routine patrol spotted Alverez and apprehended him after a brief foot chase. Alverez was charged with murder, robbery and possession of weapons and stolen property. A source said the case is a “little more involved than just a robbery.”

THE BRONX

* A woman was charged with assault yesterday for hurling a can of hairspray and hitting her father-in-law in the torso last month, authorities said.

On April 28, Isabel Hernandez, 21, got into an argument with Kevin Malave, 46, in an apartment building on East 156th Street around 10 a.m. in the Morrisania section, cops said.

Malave was allegedly struck by the hairspray can on the right side of his torso and suffered a large contusion.

QUEENS

* Police are asking for the public’s help in finding a man with Alzheimer’s who disappeared from his Woodside home Monday.

Luis Gallegos vanished from his apartment at 41-45 52nd St. around 7:30 p.m. He was last seen wearing blue jeans, white sneakers and a medical alert bracelet with the number 99751674.

He is described as a 63-year-old Hispanic man, 5-foot-7 and 180 pounds. Anyone with information is asked to call the 108th Precinct Detective Squad at (718) 784-5441.