Source: wikibot/direct-sum-of-topological-groups

= Direct sum of topological groups
{wiki=Direct_sum_of_topological_groups}

In the context of topological groups, the **direct sum** (often referred to as the **direct product**, especially in the category of groups) of a family of topological groups provides a way to combine these groups into a new topological group. The construction is analogous to that of the direct sum in vector spaces.