ALAMEDA -- Alameda police say they solved a cold case Thursday when investigators arrested a 37-year-old Oakland man on three felony counts in connection with a sexual assault reported nearly two years ago.

The woman was attacked shortly before 5 a.m. Nov. 16, 2010, in the 2400 block of Lincoln Avenue in Alameda. Police shelved the case after "all attempts to identify the unknown suspect were exhausted," according to a police statement.

DNA evidence collected during the investigation was submitted to an FBI database and a possible match was found in May. The investigation was re-opened and a suspect was named and later identified by the victim.

With an arrest warrant, detectives arrested Tywan D. Johnson at 9:41 a.m. Thursday at the Hayward Hall of Justice, where he was in court on an unrelated theft charge, police said.

He was booked at Glen Dyer Jail in Oakland on two counts of felony sexual and one count of felony false imprisonment and remains jailed without bail. He is due in court for an arraignment on Monday.

The victim, an Oakland woman, did not know her attacker, police said. Details of the attack were not released.

Reach Kristin J. Bender at kbender@bayareanewsgroup.com. Follow her at Twitter.com/kjbender.