2-complex
= 2-complex
= Two-dimensional cell complex
{synonym}
A two-dimensional <CW complex> has cells only in dimensions zero, one and two. In a combinatorial two-complex the two-cells are polygons attached by combinatorial edge paths. Its <1-skeleton> carries the path metric assigning length one to each edge. Compact combinatorial complexes have finitely many cells, so their cell-boundary lengths have a finite maximum.