(CNN) A man charged with stabbing and raping a woman may be the same man responsible for three killings in Detroit, police said.

The suspect, who has not been identified, was initially detained Friday as a "person of interest" in the possible serial killings.

As the investigation unfolded, authorities charged him with the May 7 rape and stabbing of a 26-year-old woman who survived, Detroit Police Chief James Craig said Monday.

But he hasn't been charged with the deaths of three women who were found in abandoned homes on the east side of Detroit since March.

"We're still working our case," Craig said. "We're confident that he is connected to all the cases that we've described."

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