Main Page | See live article | Alphabetical index The restricted product is a construction in the theory of topological groups. Let be sequence of locally compact groups together with a compact subgroup . The restricted product is the set of sequences such that for all but finitely many . The restricted product is itself a locally compact Group. The best known example of this construction is that of the adele ring of an algebraic number field. This article is from Wikipedia. All text is available under the terms of the GNU Free Documentation License.