Regions of France Regions of France France is divided into 18 administrative regions (, ), including 13 metropolitan regions and 5 overseas regions. The 13 metropolitan regions (including 12 mainland regions and Corsica) are each further subdivided into 2 to 13 departments, while the overseas regions consist of only one department each and hence are also referred to as "overseas departments". The current legal concept of "region" was adopted in 1982, and in 2016 what had been 27 regions was reduced to 18. The term "région" was officially created by the Law of Decentralisation (2 March 1982), which also gave regions their legal
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