Topological monoid

Short description: Concept in mathematics

In topology, a branch of mathematics, a topological monoid is a monoid object in the category of topological spaces. In other words, it is a monoid with a topology with respect to which the monoid's binary operation is continuous. Every topological group is a topological monoid.

## See also

* H-space

## References

* Steenrod, N.E. (1968). "Milgram's classifying space of a topological group". Topology 7 (4): 349–368. doi:10.1016/0040-9383(68)90012-8. ISSN 0040-9383. http://dx.doi.org/10.1016/0040-9383(68)90012-8.
* Fiedorowicz, Z. (1984). "Classifying Spaces of Topological Monoids and Categories". American Journal of Mathematics 106 (2): 301. doi:10.2307/2374307. ISSN 0002-9327. http://dx.doi.org/10.2307/2374307.

## External links

* topological monoid from symmetric monoidal category

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