real projective plane
E1245023
UNEXPLORED
The real projective plane is a non-orientable two-dimensional surface in projective geometry obtained by adding "points at infinity" to the Euclidean plane so that any two distinct lines intersect in exactly one point.
All labels observed (1)
| Label | Occurrences |
|---|---|
| real projective plane canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T16991719 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: real projective plane Context triple: [The Real Projective Plane, subject, real projective plane]
-
A.
The Real Projective Plane
The Real Projective Plane is a classic mathematical monograph by H. S. M. Coxeter that systematically develops the geometry and topology of the real projective plane, emphasizing its axiomatic foundations and non-Euclidean properties.
-
B.
Fano plane
The Fano plane is the smallest finite projective plane, consisting of seven points and seven lines with rich symmetrical and combinatorial properties.
-
C.
Riemann sphere
The Riemann sphere is the complex plane plus a point at infinity, forming a one-dimensional complex manifold topologically equivalent to a sphere and used to study meromorphic functions and complex analysis.
-
D.
Veblen axioms for projective geometry
The Veblen axioms for projective geometry are a foundational set of incidence-based axioms introduced by Oswald Veblen to rigorously formalize the structure of projective spaces.
-
E.
Plücker coordinates
Plücker coordinates are a system of homogeneous coordinates used in projective geometry to represent lines (and other subspaces) in higher-dimensional spaces.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: real projective plane Target entity description: The real projective plane is a non-orientable two-dimensional surface in projective geometry obtained by adding "points at infinity" to the Euclidean plane so that any two distinct lines intersect in exactly one point.
-
A.
The Real Projective Plane
The Real Projective Plane is a classic mathematical monograph by H. S. M. Coxeter that systematically develops the geometry and topology of the real projective plane, emphasizing its axiomatic foundations and non-Euclidean properties.
-
B.
Fano plane
The Fano plane is the smallest finite projective plane, consisting of seven points and seven lines with rich symmetrical and combinatorial properties.
-
C.
Riemann sphere
The Riemann sphere is the complex plane plus a point at infinity, forming a one-dimensional complex manifold topologically equivalent to a sphere and used to study meromorphic functions and complex analysis.
-
D.
Veblen axioms for projective geometry
The Veblen axioms for projective geometry are a foundational set of incidence-based axioms introduced by Oswald Veblen to rigorously formalize the structure of projective spaces.
-
E.
Plücker coordinates
Plücker coordinates are a system of homogeneous coordinates used in projective geometry to represent lines (and other subspaces) in higher-dimensional spaces.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.