k-cell

Noun

 * 1)  A subset of k-dimensional Euclidean space which is obtained by taking the Cartesian product of k intervals (closed, open, or half-closed) which are subsets of the coordinate axes of the ambient Euclidean space.

Usage notes
Hyponyms of "k-cell" are "1-cell", "2-cell", "3-cell", etc.; and synonyms are "n-cell" or such. The 'k' in "k-cell" is italicized.