Lower-bound theorems for pseudomanifolds

DOI10.1007/BF02574038zbMath0817.52016MaRDI QIDQ1346138

Tiong Seng Tay

Publication date: 20 March 1995

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

Full work available at URL: https://eudml.org/doc/131356

zbMATH Keywords

triangulation\(f\)-vectorpseudomanifoldgeneric 3-rigiditylower-bound theorem

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Triangulating manifolds (57Q15)

Related Items

Lower bounds for locally highly connected graphs ⋮ A characterization of homology manifolds with \(g_{2}\geq 2\) ⋮ Graded Betti numbers of balanced simplicial complexes ⋮ The numbers of edges of 5-polytopes with a given number of vertices ⋮ Fair Division and Generalizations of Sperner- and KKM-type Results ⋮ A lower bound theorem for centrally symmetric simplicial polytopes ⋮ Minimal triangulations of sphere bundles over the circle ⋮ Tight combinatorial manifolds and graded Betti numbers ⋮ Lower bound theorem for normal pseudomanifolds ⋮ The rigidity of the graphs of homology spheres minus one edge ⋮ LOWER BOUND THEOREMS AND A GENERALIZED LOWER BOUND CONJECTURE FOR BALANCED SIMPLICIAL COMPLEXES ⋮ Multiplicity and Castelnuovo-Mumford regularity of Stanley-Reisner rings

Cites Work

• Rigidity and the lower bound theorem. I
• Intersection homology theory
• The minimum number of faces of a simple polyhedron
• Skeletal rigidity of simplicial complexes. I
• Graph theorems for manifolds
• The minimum number of vertices of a simple polytope
• Partial Differential Relations
• Combinatorics and commutative algebra
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