The three separate stabbings took place late Thursday and all the women are still in the hospital being treated for their injuries.
Authorities said Sunday that the man, whose name wasn't released, was arrested Saturday morning after police stopped him because he fit the description of the suspect. He was found in possession a knife and investigators linked him to the attacks through DNA analysis.
Prosecutor Antje Gabriels-Gorsolke says the suspect has 18 convictions, primarily for theft but also for drugs, fraud and one for sexual assault in 2002. He has no address but most of the crimes were committed in eastern Germany.
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