Real projective plane

URI: https://gptkb.org/entity/Real_projective_plane
GPTKB entity
Statements (27)
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