Police charged a homeless man in connection with the beating of a city man at an assisted-living facility at 243 Broadway last week. The victim, who suffered a broken nose and eye socket and needed surgery, told police that it was his friend and drinking buddy, Mark J. Sullivan, 50, who hurt him “for no reason” while they were drinking together around midnight Thursday, according to court records.

The victim was found “heavily intoxicated,” bleeding severely, at a nearby store. He was rushed to the hospital.

Sullivan, whom court records say has a long history of violence, was found staggering around Central Square about seven hours after the attack and admitted he was drunk when police arrested him, an officer’s report said. Sullivan was charged with assault and battery causing serious injury and arraigned in Middlesex Superior Court, where his bail was set at $25,000.

In other police news:

— A Cape Cod man was arrested this weekend after police sources say he urinated on one of their cruisers.

David Vera, 62, of Buzzards Bay, emerged from the lockup at the Cambridge Police Department on Sunday morning — welts and dried blood all over his face and a bandage over one eye — when his son-in-law came to bail him out of jail and chastise him for being “an idiot.”

Vera admitted as much. Smiling sheepishly, he said he had “fallen off the wagon,” and been hurt during the arrest.

“I pissed on their cruiser,” he explained.

He was charged with indecent exposure and released on $40 cash bond.

— A local man was injured by his wife early Monday, police said, during a domestic dispute that started over her frustration about homework. The man said his wife “became upset over her schoolwork and whether she would need to repeat any classes — and if so, would they be able to afford classes again,” police said.

The man tried to leave while she was blowing off steam, but that just made the woman more angry.

“She took her anger out on her husband,” police said, “and threatened to kill him if he left the residence. She then tried to stab him with a ballpoint pen. He blocked a body stab attempt with his right hand, receiving a puncture wound.”

Police did not report any arrests in connection with the incident.

— Several motorists discovered their tires were slashed Sunday between 2 and 5 p.m. on Fifth, Third and Spring streets. Anyone with information regarding these crimes is asked to call police.