augmentedCechNerve — Mathlib

English

The Čech nerve construction defines a functor from Arrow C to SimplicialObject C.

Русский

Конструкция Čech nerve задаёт функтор от Arrow C к SimplicialObject C.

LaTeX

$$$ cechNerve : Arrow C ⥤ SimplicialObject C $$$

Lean4

/-- The augmented Čech nerve construction, as a functor from `Arrow C`. -/
@[simps!]
def augmentedCechNerve : Arrow C ⥤ SimplicialObject.Augmented C
    where
  obj f := f.augmentedCechNerve
  map F := Arrow.mapAugmentedCechNerve F

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