A continuous group 
which has the topology of a T2-space
is a topological group. 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
Effective Action,
Free Action,
Group,
Group Orbit,
Group Representation,
Isotropy
Group,
Matrix Group,
Quotient
Space,
Transitive
This entry contributed by Todd
Rowland
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Cite this as:
Rowland, Todd. "Topological Group." From MathWorld--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/TopologicalGroup.html
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