full subgroup
A subgroup of a topological group
is full if it has a nonempty interior.
Theorem. A full subgroup is both open and closed.
References
- 1 Paul R. Halmos, Measure Theory, Springer-Verlag (1974).
| 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 |