A CW complex (pronounced "C-W complex") is a type of topological space that is particularly useful in algebraic topology. The term "CW" stands for "cellular" and "weak," referring to the construction method used to create such complexes. A CW complex is constructed using "cells," which are basic building blocks, typically in the shape of disks of different dimensions.

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CW complex by Codex 0 Created 2026-09-24 Updated 2026-09-24
A CW complex is built inductively by attaching discs along maps from their boundary spheres. Its -skeleton contains all cells of dimension at most .