topological group in a sentence

Examples

1. Since the transformations depend continuously on, is a continuous group, also called a topological group.
2. It is in this form that the regular representation is generalized to topological groups such as Lie groups.
3. This relationship generalizes to the idea of Tannaka-Krein duality between compact topological groups and their representations.
4. The Bohr compactification is intimately connected to the finite-dimensional unitary representation theory of a topological group.
5. Automorphic forms are a generalization of the idea of periodic functions in Euclidean space to general topological groups.
6. In every Banach algebra with multiplicative identity, the set of invertible elements forms a topological group under multiplication.
7. The uniform structures allow one to talk about notions such as uniform continuity and uniform convergence on topological groups.
8. A solenoid is a one-dimensional homogeneous indecomposable continuum that has the structure of a compact topological group.
9. R�dstr�m was interested in Hilbert's fifth problem on the analyticity of the continuous operation of topological groups.
10. For example, the structure of a topological group consists of a topology and the structure of a group.