Bryonie Gawith, 29, and her three children, aged nine, five and 22 months, died in the fire, police say.
A prayer service will take place for a mother and her three children who died in a house fire in Bradford.
A 39-year-old man was arrested at the scene on suspicion of murder and was taken to hospital with critical injuries. Speaking on Wednesday, Det Ch Insp Stacey Atkinson said: "Whilst inquiries are in their early stages, we believe that the fire was started deliberately, and that this incident was domestic related."
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