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Skeleton
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The k-skeleton of a cubical complex K (or any cell complex) is the complex $K^{(k)}$ consisting of all of $i$-cells of $K$ with $i≤k$.
Example. This is complex $K$:
Below are the $0$-, $1$-, and $2$-skeletons of $K$.
$0$-skeleton:
$1$-skeleton:
$2$-skeleton:
Higher dimensional skeleta of $K$ still make sense but they are all identical to the last one.
Note: To compute the $k$-homology of a complex it suffices to know its $(k+1)$-skeleton.
Example. A cell complex's skeleta: