The Euclidian space is an example of an equidimensional space where a disjoint union of two spaces X and Y of different dimension is an example of a non-equidimensional space.
The Euclidian space is an example of an equidimensional space where a disjoint union of two spaces X is an example of a non-equidimensional space. The Euclidian space is an example of an equidimensional space where a disjoint union of Y of different dimension is an example of a non-equidimensional space.