OAKLAND -- A man found shot Saturday morning is suspected of stabbing his girlfriend less than 10 minutes earlier when she told him she wanted to end their relationship, police said Monday.

No one has been arrested yet in the shooting, police said.

Both the woman and man were hospitalized Monday. The woman was treated and released and the man remained hospitalized in critical condition. Their names were not released.

The violence began about 10:03 a.m. Saturday when the 23-year-old woman was stabbed with a kitchen knife at her home in the 700 block of 19th Street, police said.

Investigators suspect her 29-year-old boyfriend, who has addresses in San Francisco and Emeryville, stabbed her after she told him she wanted to break up. Police said the¿ couple had been in a relationship since October.

After the stabbing, the man fled. He was found at 10:07 a.m. at 23rd Street and Martin Luther King Jr. Way -- less than a half-mile away -- unconscious and suffering from multiple gunshot wounds.

Police are not sure why he went to that site and don't have any information confirming that he was chased there and shot. Several people, including some who know the woman, have been questioned in connection with the shooting.

Police and Crime Stoppers of Oakland are offering up to $5,000 in reward money for information leading to the arrest of the gunman. Anyone with information may call police at 510-238-3326 or Crime Stoppers at 510-777-8572.