Contents

# Contents

## Idea

A continuous function between topological spaces which respects a given cell complex-structure on these spaces is called a cellular map.

## Definition

Let $X$ and $Y$ be CW-complexes and let $X_n$ (respectively $Y_n$ ) denote the $n$-skeleton of $X$ (respectively $Y$). Then a continuous function $f:X \rightarrow Y$ is said to be cellular if it takes $n$-skeletons to $n$-skeletons for all $n = 0,1,2,...,$ i.e, if

$f(X_n ) \subseteq Y_n$

for all natural numbers $n$.

Last revised on December 18, 2019 at 08:35:24. See the history of this page for a list of all contributions to it.