nLab
SimpSet

SimpSet, or SSet for short, is the category of simplicial sets.

This is the functor category from the opposite category Δ op of the simplex category Δ to the category Set of sets:

SimpSet:=[Δ op,Set].Simp Set := [\Delta^{op}, Set] \,.

SimpSet is naturally a model category using the model structure on simplicial sets.

category: category