Statements (26)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
projective plane |
gptkbp:can_be_constructed_as |
sphere with antipodal points identified
|
gptkbp:canBeEmbeddedIn |
gptkb:4-dimensional_Euclidean_space
|
gptkbp:cannot_be_embedded_in |
gptkb:3-dimensional_Euclidean_space
|
gptkbp:contains |
lines
points |
gptkbp:dimensions |
2
|
gptkbp:Euler_characteristic |
1
|
gptkbp:first_homology_group |
gptkb:Z/2Z
|
gptkbp:fundamentalGroup |
cyclic group of order 2
|
https://www.w3.org/2000/01/rdf-schema#label |
real projective plane
|
gptkbp:namedAfter |
gptkb:geometry
|
gptkbp:orientable |
false
|
gptkbp:relatedTo |
gptkb:Klein_bottle
gptkb:complex_projective_plane gptkb:Möbius_strip gptkb:Fano_plane |
gptkbp:second_homology_group |
0
|
gptkbp:symbol |
gptkb:RP^2
|
gptkbp:used_in |
gptkb:algebraic_geometry
gptkb:geometry gptkb:topology real algebraic geometry |
gptkbp:bfsParent |
gptkb:Möbius_strip
|
gptkbp:bfsLayer |
5
|