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- Polar_space abstract "In mathematics, in the field of geometry, a polar space of rank n (n ≥ 3), or projective index n − 1, consists of a set P, conventionally the set of points, together with certain subsets of P, called subspaces, that satisfy these axioms: Every subspace, together with its own subspaces, is isomorphic with a projective geometry PG(d, q) with −1 ≤ d ≤ (n − 1) and q a prime power. By definition, for each subspace the corresponding d is its dimension. The intersection of two subspaces is always a subspace. For each point p not in a subspace A of dimension of n − 1, there is a unique subspace B of dimension n − 1 such that A ∩ B is (n − 2)-dimensional. The points in A ∩ B are exactly the points of A that are in a common subspace of dimension 1 with p. There are at least two disjoint subspaces of dimension n − 1.A polar space of rank two is a generalized quadrangle. Finite polar spaces (where P is a finite set) are also studied as combinatorial objects.".
- Polar_space wikiPageExternalLink pps.
- Polar_space wikiPageID "3948557".
- Polar_space wikiPageRevisionID "580229791".
- Polar_space hasPhotoCollection Polar_space.
- Polar_space subject Category:Projective_geometry.
- Polar_space subject Category:Set_families.
- Polar_space type Abstraction100002137.
- Polar_space type Family108078020.
- Polar_space type Group100031264.
- Polar_space type Organization108008335.
- Polar_space type SetFamilies.
- Polar_space type SocialGroup107950920.
- Polar_space type Unit108189659.
- Polar_space type YagoLegalActor.
- Polar_space type YagoLegalActorGeo.
- Polar_space type YagoPermanentlyLocatedEntity.
- Polar_space comment "In mathematics, in the field of geometry, a polar space of rank n (n ≥ 3), or projective index n − 1, consists of a set P, conventionally the set of points, together with certain subsets of P, called subspaces, that satisfy these axioms: Every subspace, together with its own subspaces, is isomorphic with a projective geometry PG(d, q) with −1 ≤ d ≤ (n − 1) and q a prime power. By definition, for each subspace the corresponding d is its dimension.".
- Polar_space label "Espace polaire".
- Polar_space label "Polar space".
- Polar_space sameAs Espace_polaire.
- Polar_space sameAs m.0b84yh.
- Polar_space sameAs Q3058226.
- Polar_space sameAs Q3058226.
- Polar_space sameAs Polar_space.
- Polar_space wasDerivedFrom Polar_space?oldid=580229791.
- Polar_space isPrimaryTopicOf Polar_space.