Riding hall
A riding hall, indoor arena, indoor school (UK English), or indoor ring (US English) is a building (part of an equestrian facility) that is specially designed for indoor horse riding. Smaller, private buildings contain only space for riding, while larger commercial facilities contain a "ring" or "arena" within a larger building as exclusively for equestrian use, but may also incorporate additional facilities for spectators or stabling of horses.
An outdoor enclosure for riding horses is called a riding arena, (training) ring (US English), or (outdoor) school (British English) or, sometimes, a manège (British English). In other languages, the French word manège, or a derivative, means "riding hall" since, in French, the word refers to an indoor hall, while an outdoor arena is called a carrière.