Simplicial space

In mathematics, a simplicial space is a simplicial object in the category of topological spaces. In other words, it is a contravariant functor from the simplex category Δ to the category of topological spaces.[1]

References

  1. ↑ Baues, Hans Joachim (1995), "Homotopy types", in James, I. M., Handbook of Algebraic Topology, Amsterdam: North-Holland, pp. 1–72, doi:10.1016/B978-044481779-2/50002-X, MR 1361886. See in particular p. 8.