** the image of the boundary of the closed ball is contained in the union of a finite number of elements of the partition, each having cell dimension less than n.

** Lebesgue covering dimension, a definition of dimension using topological properties

** Minkowski – Bouligand dimension

** Spaces with integer dimension are better-behaved than spaces with fractal dimension.

** Hypersphere, a round sphere of dimension higher than 2, especially if embedded in such a space

** Krull dimension

** the unit sphere ( with superscript denoting dimension )

** Complex dimension

** Hausdorff dimension

** Inductive dimension

** Lebesgue covering dimension

** Packing dimension

* Isoperimetric dimension