Real projective plane

URI: https://gptkb.org/entity/Real_projective_plane

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:non-orientable_surface gptkb: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
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:CW_Complexes gptkb:Projective_plane
gptkbp:bfsLayer	8
https://www.w3.org/2000/01/rdf-schema#label	Real projective plane