Topological semigroup

In mathematics, a topological semigroup is a semigroup that is simultaneously a topological space, and whose semigroup operation is continuous.

Every topological group is a topological semigroup.

Analytic semigroup – Type of strongly continuous semigroup
Compact group – Topological group with compact topology
Complete field
Ellis–Numakura lemma – Compact topological semigroup
Locally compact group – Type of topological group in mathematics
Locally compact quantum group
Ordered topological vector space
Strongly continuous semigroup – Generalization of the exponential function
Topological abelian group
Topological field – Algebraic structure with addition, multiplication, and division
Topological group – Group that is a topological space with continuous group operations
Topological module
Topological ring
Topological vector lattice
Topological vector space – Vector space with a notion of nearness

References

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