zero-dimensional
Adjective
Meaning
zero-dimensional (not comparable)
(geometry) Having zero dimensions; having no extent in any direction.
Examples
Duff 1998, p. 67 Membranes and fivebranes String theory extends ordinary particle physics by promoting zero-dimensional point particles to one-dimensional objects called strings.
If V has exactly two subrepresentations, namely the zero-dimensional subspace and V itself, then the representation is said to be irreducible; if it has a proper subrepresentation of nonzero dimension, the representation is said to be reducible.
One consideration is that zero-dimensional mathematical points cannot be observed.
On much larger length scales, such as the scales visible in physics laboratories, such objects would be indistinguishable from zero-dimensional point particles, and the vibrational state of the string would determine the type of particle.
The almost discrete spaces are precisely the finitely generated zero-dimensional spaces.