Gardaí have confirmed a body found earlier has been formally identified as Natalia Karaczyn.
A post mortem has concluded but officers aren't releasing details for operational reasons.
A 32-year-old man who was arrested in connection with this investigation remains in garda custody.
30-year-old Natalia had been missing from her home in Crozon Park in Sligo town centre since the early hours of Sunday morning.
Gardaí had been treating her disappearance as suspicious.
Investigators found the body in an area of open ground near Carns.
Additional reporting: Jack Quann