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An upper and a lower bound theorem for combinatorial 4-manifolds

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Publication:1389172
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DOI10.1007/PL00009369zbMath0960.57019MaRDI QIDQ1389172

Eric Sparla

Publication date: 11 June 1998

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)


zbMATH Keywords

Euler characteristic


Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) General topology of complexes (57Q05) Embeddings and immersions in PL-topology (57Q35)


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Hamiltonian submanifolds of regular polytopes ⋮ Highly neighborly centrally symmetric spheres ⋮ Generalized Heawood numbers ⋮ Face numbers: the upper bound side of the story ⋮ From the icosahedron to natural triangulations of \(\mathbb {C}\mathbb{P}^{2}\) and \(S ^{2}\times S ^{2}\) ⋮ Centrally symmetric manifolds with few vertices ⋮ On face numbers of manifolds with symmetry




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