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
References
- {{Cite journal|last=Steenrod|first=N.E.|date=1968|title=Milgram's classifying space of a topological group|journal=Topology|volume=7|issue=4|pages=349–368|doi=10.1016/0040-9383(68)90012-8|issn=0040-9383|doi-access=free}}
- {{Cite journal|last=Fiedorowicz|first=Z.|date=1984|title=Classifying Spaces of Topological Monoids and Categories|url=http://dx.doi.org/10.2307/2374307|journal=American Journal of Mathematics|volume=106|issue=2|pages=301–350|doi=10.2307/2374307|jstor=2374307 |issn=0002-9327|url-access=subscription}}
External links
- [https://mathoverflow.net/q/114690 topological monoid from symmetric monoidal category]
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