Simplex Category

In mathematics, the simplex category (or simplicial category or ordinal category) is the category of finite ordinals and order preserving maps. It is used to define simplicial and cosimplicial objects.

Read more about Simplex CategoryFormal Definition

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Simplex Category - Formal Definition
... The simplex category is usually denoted by and is sometimes denoted by Ord ... There are several equivalent descriptions of this category ... can be described as the category of finite ordinals as objects, thought of as totally ordered sets, and order preserving functions as morphisms ...

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