Projectivization
noun ·Rare ·Advanced level
Definitions
- 1 A process (more formally, a mapping) that, given a vector space, specifies an associated projective space; (loosely) the projective space so specified.
"Let us consider the vector space T#95;p. Its projectivization #123;PT#125;#95;p, is a projective space, which is obtained from T#95;p, by factorization relative to the collinearity of vectors. The projectivization #123;PT#125;#95;p is a set of straight lines, passing through the point p. Under projectivization, the cone C(2,r) becomes a manifold S(1,r-1) of dimension r."
Example
More examples"Let us consider the vector space T#95;p. Its projectivization #123;PT#125;#95;p, is a projective space, which is obtained from T#95;p, by factorization relative to the collinearity of vectors. The projectivization #123;PT#125;#95;p is a set of straight lines, passing through the point p. Under projectivization, the cone C(2,r) becomes a manifold S(1,r-1) of dimension r."
Etymology
From projective + -ization.
Related phrases
More for "projectivization"
Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.