All triangulations of the projective plane are geometrically realizable in \(E^ 4\).

DOI10.1007/BF02763173zbMath0513.52007OpenAlexW2080863196MaRDI QIDQ1050624

D. W. Barnette

Publication date: 1983

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02763173

zbMATH Keywords

triangulationsprojective planepolyhedral manifoldsconvex triangles

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Other problems of combinatorial convexity (52A37) Dimension theory in algebraic topology (55M10) Polytopes and polyhedra (52Bxx)

Related Items

Realizability of the torus and the projective plane in \(\mathbb{R}^ 4\) ⋮ Irreducible triangulations of the torus ⋮ Unnamed Item ⋮ On valences of polyhedra ⋮ The number of triangular packings of a vertex labelled graph on a torus ⋮ Pairs of polyhedra sharing the same 1-skeleton in 3D and 4D spaces, without a single common face

Cites Work

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