Equidimensionality
In mathematics, especially in topology, equidimensionality is a property of a space that the local dimension is the same everywhere.Definition
A topological space X is said to be equidimensional if for all points p in X the dimension at p that is, dim p is constant. The Euclidean space is an example of an equidimensional space. The disjoint union of two spaces X and Y of different dimension is an example of a non-equidimensional space.An affine algebraic variety whose coordinate ring is a Cohen–Macaulay ring is equidimensional.
