Word.ws English Dictionary

projectivization

projectivization noun: a process (more formally, a mapping) that, given a vector space, specifies an associated projective space; (loosely) the projective space so specified.

Noun

projectivization (plural projectivizations)

  1. (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#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...1992, Maks A. Akivis, Alexander M. Shelekhov, translated by Vladislav V. Goldberg, Geometry and Algebra of Multidimensional Three-Webs, Springer, page 11
    • Therefore, the projectivization P(f) is determined only on the complement U_f=P(L)P( ker f).1997, M. E. Alferieff (translator), Alexei Kostrikin, Yuri Manin, Linear Algebra and Geometry, Gordon and Breach Science Publishers, Paperback, page 233

Forms of projectivization

pluralprojectivizations
alternative formprojectivisation

Origin of projectivization

From projective + -ization.

Questions about projectivization

What does projectivization mean?
Projectivization means a process (more formally, a mapping) that, given a vector space, specifies an associated projective space; (loosely) the projective space so specified.
What part of speech is projectivization?
Projectivization is a noun.
What is the plural of projectivization?
The plural of projectivization is projectivizations.

Words near projectivization in the dictionary

  1. projectivisms
  2. projectivist
  3. projectivists
  4. projectivities
  5. projectivity
  6. projectivization
  7. projectivizations
  8. projectivize
  9. projectivized
  10. projectivizes
  11. projectivizing

Source and license

Adapted from Wiktionary: projectivization (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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