# Topological semigroup

Topological semigroup

In mathematics, a topological semigroup is a semigroup which is simultaneously a topological space, and whose semigroup operation is continuous. [Artur Hideyuki Tomita. [http://tatra.mat.savba.sk/Full/14/10tomita.ps On sequentially compact both-sides cancellative semigroups with sequentially continuous addition.] ]

A topological group is a topological semigroup.

* Strongly continuous semigroup
* Analytic semigroup
* Ellis–Nakamura lemma

References

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