Math 2.0

Topological groups, Lie groups Topological groups: basic notions Concept

Topological semigroup

Summary

A topological semigroup is a semigroup with a topology in which the semigroup operation is jointly continuous. It is a very general setting where algebra and topology meet through one associative operation. Topological monoids and topological groups are special cases. Compact topological semigroups have a rich structure theory with uses in topological dynamics.

Further reading

  1. Web https://en.wikipedia.org/wiki/Topological_semigroup
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TagQXB6JDG68F
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Kindconcept
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MSC22A15
SpecializesSemigroup
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Changed2 November 2026

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