Zero Dimensions: A point has zero dimensions. There's no length, height, width, or volume. Its only property is its location. You could have a collection of points, such as the endpoints of a line or the corners of a square, but it would still be a zero-dimensional object.

Is zero dimension possible?

Properties of spaces with small inductive dimension zero

However, a locally compact Hausdorff space is zero-dimensional if and only if it is totally disconnected. ... Examples of such spaces include the Cantor space and Baire space.

What is called zero dimension?

Sometimes the zero-dimensionality of a space is understood more narrowly. ... A space is called zero-dimensional in the sense of dim if every finite open covering of it can be refined to an open covering with disjoint elements.