Statements (26)
Predicate | Object |
---|---|
gptkbp:instanceOf |
non-orientable surface
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:category |
gptkb:geometry
gptkb:topology |
gptkbp:chromaticNumber |
6
|
gptkbp:dimensions |
2
|
gptkbp:double_cover |
2-sphere
|
gptkbp:Euler_characteristic |
1
|
gptkbp:firstDescribed |
gptkb:August_Ferdinand_Möbius
|
gptkbp:fundamentalGroup |
cyclic group of order 2
|
gptkbp:genus |
1
|
gptkbp:homology_group_H1 |
gptkb:Z/2Z
|
gptkbp:homology_group_H2 |
0
|
https://www.w3.org/2000/01/rdf-schema#label |
Real projective plane
|
gptkbp:orientable |
false
|
gptkbp:relatedTo |
gptkb:Klein_bottle
gptkb:geometry gptkb:Möbius_strip gptkb:Fano_plane |
gptkbp:symbol |
gptkb:RP^2
|
gptkbp:universalCover |
2-sphere
|
gptkbp:bfsParent |
gptkb:Projective_plane
|
gptkbp:bfsLayer |
7
|