Geometry |
---|
Geometers |
In mathematics, a zero-dimensional topological space (or nildimensional space) is a topological space that has dimension zero with respect to one of several inequivalent notions of assigning a dimension to a given topological space. [1] A graphical illustration of a zero-dimensional space is a point. [2]
Specifically:
The three notions above agree for separable, metrisable spaces.[ citation needed][ clarification needed]
All points of a zero-dimensional manifold are isolated.
The zero-dimensional hypersphere (0-sphere) is a pair of points, and the zero-dimensional ball is a single point. [3]
Geometry |
---|
Geometers |
In mathematics, a zero-dimensional topological space (or nildimensional space) is a topological space that has dimension zero with respect to one of several inequivalent notions of assigning a dimension to a given topological space. [1] A graphical illustration of a zero-dimensional space is a point. [2]
Specifically:
The three notions above agree for separable, metrisable spaces.[ citation needed][ clarification needed]
All points of a zero-dimensional manifold are isolated.
The zero-dimensional hypersphere (0-sphere) is a pair of points, and the zero-dimensional ball is a single point. [3]