Category of Monoids: TopMon

TopMon is a subcategory of Top whose objects are all internal monoids:

Mon(Top) ≅ TopMon

Note that Top must be a monoidal category in order to even have internal monoids. This is an instance of the Microcosm Principle.

categories_of_monoids: Top, TopMon

This data as json

internal_monoids parent
TopMon Top