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