simplicial space

{{Short description|A simplicial object in the category of topological spaces}}

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.{{citation

| last = Baues | first = Hans Joachim

| editor-last = James | editor-first = I. M. | editor-link = Ioan James

| contribution = Homotopy types

| doi = 10.1016/B978-044481779-2/50002-X

| location = Amsterdam

| mr = 1361886

| pages = 1–72

| publisher = North-Holland

| title = Handbook of Algebraic Topology

| year = 1995| isbn = 9780444817792

}}. See in particular [https://books.google.com/books?id=xoM5DxQZihQC&pg=PA8 p. 8].

References