Michael Cope, 28, has been charged with the murder of his ex-girlfriend Linzi Ashton after he handed himself in to armed officers after nearly a month on the run, Greater Manchester Police said.
A Home Office post mortem concluded Miss Ashton, 25, died as a result of pressure to the neck and multiple injuries.
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The Prime Minister will join hundreds of military personnel in Liverpool on Saturday as the country marks Armed Forces Day.
The Labour MP expects the death toll in the Grenfell fire to be well above 79 and blames the disaster on Tory attitudes to social housing.
At least 27 high-rise blocks of flats in 15 local authority areas have failed fire cladding safety tests, the Government has announced.