topological group in a sentence

Examples

1. Before 1957 he mainly worked on pure mathematics, specially on topological groups, Lie groups and generalized function theory.
2. It is known, however, that " local topological groups " do not necessarily have global counterparts.
3. Since the fundamental group of a topological group is always abelian, every covering group is a normal covering space.
4. In mathematics, a "'topological group "'is a continuous functions with respect to the topology.
5. The real numbers, "'R "'with the usual topology form a topological group under addition.
6. Indeed, analysts may refer to the ordinary, non-topological groups studied by algebraists as " discrete groups ".
7. By the previous construction the universal cover can be made into a topological group with the covering map a continuous homomorphism.
8. It is the coarsest topology, emerging from the topology on R, that makes R ^ \ times a topological group.
9. A principal-bundle, where denotes any topological group, is a fiber bundle together with a Hausdorff and possibly paracompact.
10. In E . Martin-Peinador, " A reflexible admissible topological group must be locally compact ", Proc.