Examples of 'topological groups' in a sentence
Meaning of "topological groups"
Topological groups: In mathematics, topological groups are groups that are also topological spaces, with the group operations being continuous with respect to the topology. They are studied in the field of algebraic topology and related areas
Show more definitions
- plural of topological group
How to use "topological groups" in a sentence
Basic
Advanced
topological groups
This page discusses a class of topological groups.
Compact paratopological groups are automatically topological groups.
All subgroups of these groups are topological groups.
Topological groups are always completely regular as topological spaces.
The last statement is a lemma about topological groups.
Topological groups began to be studied as such.
Structure of compact topological groups.
All topological groups are homogeneous.
Uniform spaces generalize both pseudometric spaces and topological groups.
Topological groups in which multiplication on one side is differentiable or linear.
This is because a bijective homomorphism need not be an isomorphism of topological groups.
The theory of unitary representations of topological groups is closely connected with harmonic analysis.
This was to formulate class field theory for infinite extensions in terms of topological groups.
Uniform spaces generalize metric spaces and topological groups and therefore underlie most of analysis.
Such topological groups are necessarily Hausdorff.
See also
On infinite-dimensional topological groups.
Topological groups and Lie groups.
For example, a homomorphism of topological groups is often required to be continuous.
In mathematics, the restricted product is a construction in the theory of topological groups.
In this sense, the theory of topological groups subsumes that of ordinary groups.
Topological groups are special among all topological spaces, even in terms of their homotopy type.
The underlying groupsare the same, but as topological groups there is not an isomorphism.
Many large abelian groups possess a natural topology, which turns them into topological groups.
Category, Topological groups.
A quasi-finite field is a perfect field K together with an isomorphism of topological groups.
Lie 's work on differential equations led to the study of topological groups and differential topology.
The Gel'fand-Raikov ( Гельфанд-Райков ) theorem is a theorem in the theory of locally compact topological groups.
In 1934, Lev Pontryagin proved the Pontryagin duality theorem ; a result on topological groups.
You'll also be interested in:
Examples of using Groups
Show more
Armed groups also stand accused of torture
The most significant groups are the following
The groups meet three times a year
Examples of using Topological
Show more
An orbispace is to topological spaces what an orbifold is to manifolds
Interconnection networks and their topological properties
Topological defects in nematic droplets of hard spherocylinders
