 Grid cell topology

The grid cell topology is studied in digital topology as part of the theoretical basis for (low-level) algorithms in computer image analysis or computer graphics.The elements of the "n"-dimensional grid cell topology ("n" ≥ 1) are all "n"-dimensional grid cubes and their "k"-dimensional faces ( for 0 ≤ "k" ≤ "n"−1); between these a partial order "A" ≤ "B" is defined if "A" is a subset of "B" (and thus also dim("A") ≤ dim("B")).