According to prosecutor Sebastian Noculak Nilsson, the man is suspected of murder on probable grounds.
They were not complete strangers to each other, says the prosecutor.
The motive is something we are investigating, but so far we have not been able to find any direct motive.
A woman in her 50s was stabbed in Bellevuegården in Malmö on Wednesday morning. A man in his 50s was arrested shortly afterwards and later remanded in custody.
The woman was taken to hospital, but her life could not be saved.
Witnesses to the incident intervened and held the man down, allowing police to arrest him quickly.
