// Workers AI · dad joke modeWhat did the topological monoid say? It was a closed group.

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.
• Fiedorowicz, Z. (1984). "Classifying Spaces of Topological Monoids and Categories". American Journal of Mathematics. 106 (2): 301–350. doi:10.2307/2374307. ISSN 0002-9327. JSTOR 2374307.

External links

• topological monoid from symmetric monoidal category