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Woman raped as she slept, police say

Police have arrested a man after an alleged home invasion and sexual assault in Melbourne's inner suburbs last week.

Detectives arrested the 32-year old Collingwood man after he allegedly assaulted a 26-year-old woman while she was asleep, about 5am on November 6 in Fitzroy.

The man was arrested in Collingwood yesterday and has been charged with aggravated burglary and rape.

He will appear at Melbourne Magistrates Court today.