Source: wikibot/totally-disconnected-group

= Totally disconnected group
{wiki=Totally_disconnected_group}

A totally disconnected group is a type of topological group in which the only connected subsets are the singletons, meaning that the only connected subsets of the group consist of individual points. This concept can be understood in the context of topological spaces and group theory. In more formal terms, a topological group \\( G \\) is said to be totally disconnected if for every two distinct points in \\( G \\), there exists a neighborhood around each point such that these neighborhoods do not intersect.