Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
projective line |
| gptkbp:alsoKnownAs |
real projective line
|
| gptkbp:automorphismGroup |
gptkb:PGL(2,_R)
|
| gptkbp:cardinality |
uncountable
|
| gptkbp:contains |
real numbers plus a point at infinity
|
| gptkbp:dimensions |
1
|
| gptkbp:field |
real numbers
|
| https://www.w3.org/2000/01/rdf-schema#label |
projective line over R
|
| gptkbp:notation |
gptkb:P^1(R)
|
| gptkbp:pointsSystem |
equivalence classes of nonzero pairs (x, y) in R^2 under scalar multiplication
|
| gptkbp:relatedTo |
gptkb:projective_line_over_C
gptkb:projective_line_over_finite_fields |
| gptkbp:topology |
homeomorphic to a circle
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:geometry complex analysis |
| gptkbp:bfsParent |
gptkb:SL_2(R)
|
| gptkbp:bfsLayer |
7
|