full subgroup
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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).
Synonym:
open subgroup, clopen subgroup
Type of Math Object:
Definition
Major Section:
Reference
Mathematics Subject Classification
22A05 Structure of general topological groups
