restricted direct product
Let be a collection of locally compact topological groups. For all but finitely many , let be a compact open subgroup of . The restricted direct product of the collection with respect to the collection is the subgroup
of the direct product .
consisting of the direct product of the ’s, for , and the ’s, for . The topological group is a subset of for each such , and we take for a topology on the weakest topology such that the are open subsets of , with the subspace topology on each equal to the topology that already has in its own right.
|Title||restricted direct product|
|Date of creation||2013-03-22 12:35:38|
|Last modified on||2013-03-22 12:35:38|
|Last modified by||djao (24)|