Assertion: geometry's point | /r/HasProperty | dimension 0
Facets:
value: with respect to the covering dimension
type: OTHER
Source sentences:
text: That is, in a projective space of dimension n, the points (dimension 0) correspond to hyperplanes (codimension 1),
text: In a vector space consisting of a single point (which must be the zero vector 0), there is no linearly independent subset.
text: A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space.
text: A point is zero-dimensional with respect to the covering dimension because every open cover of the space has a refinement consisting of a single open set.
text: The points of PG(n, K) can be taken to be the nonzero vectors in the (n + 1)-dimensional vector space over K, where we identify two vectors which differ by a scalar factor.