"group" in inglés with examples - Collocation dictionary inglés
- More generally, every commutative topological group is also a uniform space.
- This need not be true in a general abelian topological group (see examples below).
- A generalization to functions g taking values in any topological group is also possible.
- With respect to this topology, G is a topological group.
- It is known, however, that local topological groups do not necessarily have global counterparts.
- The identity component of a topological group is always a characteristic subgroup.
- The real numbers R, together with addition as operation and its usual topology, form a topological group.
- As a uniform space, every topological group is completely regular.
- For example, a homomorphism of topological groups is often required to be continuous.
- Thus SO(n) is a classic example of a topological group.
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