Administrative centre is used to refer to the seat of government. The capital of Russia is also an entity to which the term "administrative centre" does not apply. A similar arrangement exists in Ukraine. The term chef-lieu is applied to the capital of each Swiss canton. In 16 of the 26 cantons, the territory is subdivided into districts. Every district also has a city nominated as chef-lieu and each has a prefect. The term chef-lieu is used to designate the capital of each gouvernorat (department). Each of the 24 gouvernorats is subdivided into delegations (districts) which each have a central city as
Subdivided interval categories Subdivided interval categories In category theory (mathematics) there exists an important collection of categories denoted formula_1 for natural numbers formula_2. The objects of formula_3 are the integers formula_4, and the morphism set formula_5 for objects formula_6 is empty if formula_7. Subdivided interval categories are very useful in defining simplicial sets. The category whose objects are the subdivided interval categories and whose morphisms are functors is often written formula_8 and is called the simplicial indexing category. A simplicial set is just a contravariant functor formula_9. The category 𝟘 is an empty interval, that is, an empty category, having no objects nor