Fix up logic errors in the given paragraph.
During the decline of the Roman Empire, Roman authority in western Europe completely collapsed. The city of Rome, under the guidance of the Catholic Church, still remained a centre of learning and did much to preserve classical Roman culture in Europe.
During the decline of the Roman Empire, Roman authority in western Europe completely collapsed. However, the city of Rome, under the guidance of the Catholic Church, still remained a centre of learning and did much to preserve classical Roman culture in Western Europe.