[[Category theory MOC]] # Ordinal category Let $\alpha$ be an [[ordinal number]]. The **ordinal category** $\underline \alpha$, is the [[Small category]] resulting from regarding $\alpha$ as a [[Posets as categories|poset-as-category]]. Particular examples include [[Empty category]], [[Trivial category]], and [[Interval category]]. # --- #state/tidy | #lang/en | #SemBr