Topological semigroup

In mathematics, a topological semigroup is a semigroup which is simultaneously a topological space, and whose semigroup operation is continuous.^[1]

A topological group is a topological semigroup.

See also

• Strongly continuous semigroup
• Analytic semigroup
• Ellis–Numakura lemma

References

1. ↑ Artur Hideyuki Tomita. On sequentially compact both-sides cancellative semigroups with sequentially continuous addition.