Small covers over prisms

DOI10.1016/j.topol.2007.02.008zbMath1125.52013arXivmath/0606438OpenAlexW2049479317MaRDI QIDQ2371774

Mingzhong Cai, Zhi Lü, Xin Chen

Publication date: 9 July 2007

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606438

zbMATH Keywords

polytopecoloringequivariant diffeomorphismsmall cover

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Planar graphs; geometric and topological aspects of graph theory (05C10) Group actions on manifolds and cell complexes in low dimensions (57M60) Polyhedral manifolds (52B70) Compact groups of homeomorphisms (57S10) Equivariant PL-topology (57Q91)

Related Items (11)

Topological types of 3-dimensional small covers ⋮ Orientable small covers over a product space ⋮ Cohomological rigidity and the number of homeomorphism types for small covers over prisms ⋮ Small covers over products of a simple polytope with a simplex ⋮ On small covers over a product of simplices ⋮ A note on small covers over cubes ⋮ The number of small covers over cubes and the product of at most three simplices up to equivariant cobordism ⋮ Unnamed Item ⋮ The number of small covers over cubes ⋮ Small covers over wedges of polygons ⋮ An algorithmic strategy for finding characteristic maps over wedged simplicial complexes

Cites Work

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• Groups generated by reflections and aspherical manifolds not covered by Euclidean space
• Convex polytopes, Coxeter orbifolds and torus actions
• Equivariant classification of 2-torus manifolds
• Small covers of the dodecahedron and the $120$-cell

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