The orientability of small covers and coloring simple polytopes
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Publication:1775268
zbMath1065.05041MaRDI QIDQ1775268
Hisashi Nakayama, Yasuzo Nishimura
Publication date: 6 May 2005
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Coloring of graphs and hypergraphs (05C15)
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Orientable small covers over a product space ⋮ Mirror symmetries of hyperbolic tetrahedral manifolds ⋮ Lower bounds in real algebraic geometry and orientability of real toric varieties ⋮ Operations on 3-dimensional small covers ⋮ Haken 3-manifolds in small covers ⋮ On the constructions of free and locally standard \(\mathbb{Z}_{2}\)-torus actions on manifolds ⋮ Spin structures on generalized real Bott manifolds ⋮ Geometrically bounding 3-manifolds, volume and Betti numbers ⋮ Right-angled polyhedra and hyperbolic 3-manifolds ⋮ Cohomological rigidity and the number of homeomorphism types for small covers over prisms ⋮ The number of orientable small covers over cubes ⋮ Small covers over products of a simple polytope with a simplex ⋮ Theory of families of polytopes: fullerenes and Pogorelov polytopes ⋮ The second Stiefel-Whitney class of small covers ⋮ A note on small covers over cubes ⋮ Results on the topology of generalized real Bott manifolds ⋮ On the topology of real Bott manifolds ⋮ Orientable hyperbolic 4-manifolds over the 120-cell ⋮ Fundamental groups of three-dimensional small covers ⋮ Some hyperbolic three-manifolds that bound geometrically
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