Gardaí have confirmed a body found earlier on Tuesday has been formally identified as Natalia Karaczyn.
A post mortem has concluded but investigating officers are not releasing details for operational reasons.
A 32-year-old man arrested in connection with this investigation remains in garda custody.
30-year-old Ms Karaczyn 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, and voiced concern for her safety.
Investigators discovered the body in an area of open ground near Carns in the western county.
Additional reporting: Jack Quann