Abbey is a synonym of cathedral.
As a proper noun abbey
As a noun cathedral is
a big church building, central place for some area.
The office or dominion of an abbot or abbess.
A monastery or society of people, secluded from the world and devoted to religion and celibacy, which is headed by an abbot or abbess; also, the monastic building or buildings.
The church of a monastery.
- From 1199 to 1203 William Punchard was the abbot of the abbey of Rievaulx, which was part of the Cistercian order of monks.
(UK) A residence that was previously an abbatial building.
(capitalized) In London, the Abbey is short for Westminster Abbey, and in Scotland, the precincts of the Abbey of Holyrood.
A big church building, central place for some area.
The principal church of a bishop's diocese which contains an episcopal throne.
* cathedral ceiling