NEW YORK  — New York's mayor said Monday he was considering putting the nation's biggest city under curfew after nights of destruction  followed three days of largely peaceful protests over George Floyd's death. 

Mayor Bill de Blasio, a Democrat, had previously rejected imposing a curfew, as many other cities across the U.S. have done to try to curb violence that erupted amid demonstrations over Floyd's May 25 death, police brutality and racial injustice.

But de Blasio said Monday he was talking with Police Commissioner Dermot Shea and Gov. Andrew Cuomo about the idea. The mayor emphasized that no decision had been made on a curfew, and "there are advantages and disadvantages."

Earlier Monday, Shea said he didn't think curfew would work.

"The problem is: People need to listen to a curfew, and that's not going to happen. If people think it will, they don't understand what's going on," Shea said on NBC's "Today."

The deliberations came as workers swept up broken glass outside luxury stores in Manhattan's chic SoHo neighborhood, where people smashed windows and plundered shops overnight. "Hundreds and hundreds" were arrested, Shea said.

A 21-year-old man was shot in the neighborhood around 12:30 a.m. and was taken to a hospital, police said. They said his injuries were not life-threatening.

Groups of people poured down the sidewalks in Soho and other neighborhoods including Union Square, breaking into Rolex, Kate Spade and Prada boutiques and electronics stores that have been shuttered for over two months because of the coronavirus.

"People are doing this so next time, before they think about trying to kill another black person, they're going to be like, 'Damn, we don't want them out here doing this … again,'" New York City resident Sean Jones said as he watched the destruction. 

It was the third night in a row of mainly peaceful daytime demonstrations, chaotic nights, hotspots of violence and arrests, with the mayor's daughter among those arrested over the weekend. 

An arrest report obtained by the New York Post said Chiara de Blasio, 25, refused to leave a Manhattan street that officers were clearing Saturday because people were throwing things. Chiara de Blasio, who is black, was later given a court summons and released.

Her father said Monday that he didn't learn of her arrest until media reports emerged Sunday. He said his daughter told him she didn't do anything wrong. 

"She was very clear that she believed she was following the instructions of police officers and doing what they were asking… absolutely, she was abundantly clear she was peacefully protesting, not doing anything that would provoke a negative response," he said, adding that he admired her for peacefully "trying to change something that she thought was unjust." 

Thousands of people have taken to the streets around the nation to express outrage over Floyd's death and other killings of black people, particularly by police. Floyd, who was black, died after a white Minneapolis police officer pressed his knee on Floyd's neck.

On Sunday, New York City police made some gestures of solidarity with marchers during the day. Some officers knelt with protesters in an intersection as an organizer called out the names of people killed by police.

But the police department has come under criticism for confrontations with demonstrators over the weekend. Shea said the department is investigating officers' behavior in about six incidents, including one in which two police vehicles plowed through a group of protesters Saturday in Brooklyn. 

De Blasio, who said Saturday that the officers acted while under attack, shifted his tone Monday, saying, "it is still not acceptable for our officers to ever drive into a crowd."

On Sunday, video posted to social media showed a police officer pulling a gun and pointing it at demonstrators on a debris-littered Manhattan street. The officer holds the gun up for about five seconds, people to hurry away, and then a supervisor comes over and ushers the officer away.

De Blasio called for the department to strip the officer of his gun and badge immediately, though the mayor noted that he didn't know all the circumstances surrounding the moment captured on video. 

"It is not the place of an officer to pull a gun on a crowd knowing that there are peaceful protesters in that crowd," de Blasio said.