In
mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
, a topological semigroup is a
semigroup that is simultaneously a
topological space, and whose semigroup operation is
continuous.
[Artur Hideyuki Tomita]
On sequentially compact both-sides cancellative semigroups with sequentially continuous addition.
/ref>
Every topological group is a topological semigroup.
See also
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References
Topological algebra
Topological groups
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