English Dictionary

projectivization

noun

(mathematics, algebraic geometry, birational geometry) A process (more formally, a mapping) that, given a vector space, specifies an associated projective space; (loosely) the projective space so specified.

Projectivization is an important concept in mathematics.

意味（1）

(mathematics, algebraic geometry, birational geometry) 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_p. Its projectivization PTₚ, is a projective space, which is obtained from T_p, by factorization relative to the collinearity of vectors. The projectivization PTₚ 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.