Three men have been arrested on suspicion of murder, police have confirmed.
Officers were called to the house in Oates Walk, Crawley, at 9am yesterday in response to medical concerns for the woman.
Sussex Police have confirmed that the three men who were all known to the woman have been arrested on suspicion of murder.
The force has also confirmed that the woman is 32 years old.
In response to medical concerns for the woman police were called but she was found dead at the scene.
Investigations took place well into the evening last night.
A Sussex Police spokeswoman said: "We are not seeking anyone else in relation to this incident at this time.
"Anyone with information which may assist our investigation are asked to report online or ring 101 quoting Operation Gladstone."
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