full subgroup

A subgroup of a topological groupMathworldPlanetmath is full if it has a nonempty interior.

Theorem. A full subgroup is both open and closed.


Title full subgroup
Canonical name FullSubgroup
Date of creation 2013-03-22 17:04:29
Last modified on 2013-03-22 17:04:29
Owner Mathprof (13753)
Last modified by Mathprof (13753)
Numerical id 6
Author Mathprof (13753)
Entry type Definition
Classification msc 22A05
Synonym open subgroup
Synonym clopen subgroup