Can a search of a house without a warrant be justified as incident to an arrest?

Moreover, even if petitioner's arrest could be viewed as occurring in the house, the search of the house would still not be justified as incident to it. In Chimel v. California, Supra, 395 U.S. 752, 762--763, 89 S.Ct. 2034, 23 L.Ed.2d 685, the court held that a search without a warrant incident to an arrest must be limited to the arrestee's person in order to discover and remove weapons and to seize evidence to prevent its concealment or destruction, and to the area within the immediate control of the person arrested, meaning the area from which he might gain possession of a weapon or destructible evidence.