dimensionality

1. (chiefly mathematics and computing) The number of dimensions something has.Examples: "That is to say, it is the Analogue of Space, not in the sense in which we formerly regarded Space as the negation of Matter; but in the sense of Infinite Dimensionality, or of Dimensionality in all directions, as a vague generalization from the three spatial dimensions Length, Breadth, and Thickness."; "This often happens, for example, when a two-dimensional solution is obtained for data whose appropriate dimensionality is higher."; "Finite Dimensionality of de Rham Cohomology: Proposition 5.3.1. If the manifold M has a finite good cover, then its cohomology is finite dimensional."