real projective plane

English

Noun

real projective plane (plural real projective planes)

  1. (geometry) A three-dimensional vector space over the field of real numbers in which one-dimensional linear subspaces are considered as “points” and two-dimensional linear subspaces are considered as “lines”.[1] Equivalently, a sphere in which pairs of antipodal points are considered as “points” and great circles are considered as “lines”.

Hypernyms

References
  1. Garrett Birkhoff with Saunders Mac Lane (1953) A Survey Of Modern Algebra, Revised edition, U.S.A.: The Macmillan Company, published 1960, §IX.14, page 294
This article is issued from Wiktionary. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.