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In mathematics, a topological semigroup is a semigroup that is simultaneously a topological space, and whose semigroup operation is continuous.[1]
Every topological group is a topological semigroup.
See also
[edit]- 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 functionPages displaying short descriptions of redirect targets
- Topological abelian group
- Topological field – Algebraic structure with addition, multiplication, and divisionPages displaying short descriptions of redirect targets
- 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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