Let \(X\) and \(Y\) be CW complexes with \(n\)-skeleta \(X^n\) and \(Y^n\). A continuous map \(f\colon X\to Y\) is cellular if \(f(X^n) \subseteq Y^n\) for every \(n\geq 0\).
Cellular map
D-3IWX2
D-3IWX2
Let \(X\) and \(Y\) be CW complexes with \(n\)-skeleta \(X^n\) and \(Y^n\). A continuous map \(f\colon X\to Y\) is cellular if \(f(X^n) \subseteq Y^n\) for every \(n\geq 0\).