dimensionpreserving
Dimensionpreserving, usually written dimension-preserving, is a descriptive term used in mathematics and related fields to denote a property of a map, transformation, or process that does not change the dimension of the objects involved. The precise meaning depends on context, as dimension can refer to vector-space dimension, topological dimension, or other notions such as Hausdorff dimension.
In linear algebra, dimension refers to the dimension of vector spaces. A linear map T: V → W
In topology and dimension theory, a map f: X → Y is dimension-preserving if dim f(X) = dim
In applications, dimension-preserving transformations are common in geometry and computer graphics, where rigid motions (translations, rotations,