A topological group is a continuous group 
which has the topology
of a T2-space. The simplest example
is the group of real numbers
under addition.
The homeomorphism group of any compact T2-space is a topological group when
given the compact-open topology. Also, any
Lie group is a topological group.
See also
Faithful Group Action,
Free Action,
Group,
Group
Orbit,
Group Representation,
Harmonic
Analysis,
Isotropy Group,
Matrix
Group,
Quotient Space,
Transitive
Group Action
This entry contributed by Todd
Rowland
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Cite this as:
Weisstein, Eric W., with contributions by Todd Rowland. "Topological Group." From MathWorld--A
Wolfram Resource. https://mathworld.wolfram.com/TopologicalGroup.html
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